We are open Saturday and Sunday!

Call Now to Set Up Tutoring:

(888) 888-0446

Common Core: 6th Grade Math : Use Ratio Reasoning to Convert Measurement Units: CCSS.Math.Content.6.RP.A.3d

Study concepts, example questions & explanations for Common Core: 6th Grade Math

Create An Account

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $98\ inches$ $\displaystyle 98\ inches$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$8 \tfrac{5}{6} \ feet$ $\displaystyle 8 \tfrac{5}{6} \ feet$

$9 \tfrac{1}{6} \ feet$ $\displaystyle 9 \tfrac{1}{6} \ feet$

$7 \tfrac{5}{6} \ feet$ $\displaystyle 7 \tfrac{5}{6} \ feet$

$9 \tfrac{5}{6} \ feet$ $\displaystyle 9 \tfrac{5}{6} \ feet$

$8 \tfrac{1}{6} \ feet$ $\displaystyle 8 \tfrac{1}{6} \ feet$

Correct answer:

$8 \tfrac{1}{6} \ feet$ $\displaystyle 8 \tfrac{1}{6} \ feet$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $98\ inches$ $\displaystyle 98\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$98\ inches:x\ feet\rightarrow \frac{98\ inches}{x\ feet}$ $\displaystyle 98\ inches:x\ feet\rightarrow \frac{98\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{98\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{98\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=98\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=98\ inches \times (1\ foot)$

Simplify.

12x=98 $\displaystyle 12x=98$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{98}{12}$ $\displaystyle \frac{12x}{12}=\frac{98}{12}$

Solve.

$x=8 \tfrac{2}{12} \ feet$ $\displaystyle x=8 \tfrac{2}{12} \ feet$

Reduce.

$x=8 \tfrac{1}{6} \ feet$ $\displaystyle x=8 \tfrac{1}{6} \ feet$

The carpenter needs $8 \tfrac{1}{6} \ feet$ $\displaystyle 8 \tfrac{1}{6} \ feet$ of material.

Report an Error

Example Question #2 : Conversions

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $124\ inches$ $\displaystyle 124\ inches$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$11 \tfrac{1}{3} \ feet$ $\displaystyle 11 \tfrac{1}{3} \ feet$

$10 \tfrac{1}{3} \ feet$ $\displaystyle 10 \tfrac{1}{3} \ feet$

$9 \tfrac{2}{3} \ feet$ $\displaystyle 9 \tfrac{2}{3} \ feet$

$10 \tfrac{2}{3} \ feet$ $\displaystyle 10 \tfrac{2}{3} \ feet$

$10 \tfrac{3}{5} \ feet$ $\displaystyle 10 \tfrac{3}{5} \ feet$

Correct answer:

$10 \tfrac{1}{3} \ feet$ $\displaystyle 10 \tfrac{1}{3} \ feet$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $124\ inches$ $\displaystyle 124\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$124\ inches:x\ feet\rightarrow \frac{124\ inches}{x\ feet}$ $\displaystyle 124\ inches:x\ feet\rightarrow \frac{124\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{124\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{124\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=124\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=124\ inches \times (1\ foot)$

Simplify.

12x=124 $\displaystyle 12x=124$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{124}{12}$ $\displaystyle \frac{12x}{12}=\frac{124}{12}$

Solve.

$x=10 \tfrac{4}{12} \ feet$ $\displaystyle x=10 \tfrac{4}{12} \ feet$

Reduce.

$x=10 \tfrac{1}{3} \ feet$ $\displaystyle x=10 \tfrac{1}{3} \ feet$

The carpenter needs $10 \tfrac{1}{3} \ feet$ $\displaystyle 10 \tfrac{1}{3} \ feet$ of material.

Report an Error

Example Question #93 : Numbers And Operations

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $39\ inches$ $\displaystyle 39\ inches$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$3 \tfrac{2}{5} \ feet$ $\displaystyle 3 \tfrac{2}{5} \ feet$

$3 \tfrac{1}{2} \ feet$ $\displaystyle 3 \tfrac{1}{2} \ feet$

$3 \tfrac{1}{4} \ feet$ $\displaystyle 3 \tfrac{1}{4} \ feet$

$3 \tfrac{1}{5} \ feet$ $\displaystyle 3 \tfrac{1}{5} \ feet$

$3 \tfrac{3}{4} \ feet$ $\displaystyle 3 \tfrac{3}{4} \ feet$

Correct answer:

$3 \tfrac{1}{4} \ feet$ $\displaystyle 3 \tfrac{1}{4} \ feet$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $39\ inches$ $\displaystyle 39\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$39\ inches:x\ feet\rightarrow \frac{39\ inches}{x\ feet}$ $\displaystyle 39\ inches:x\ feet\rightarrow \frac{39\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{39\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{39\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=39\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=39\ inches \times (1\ foot)$

Simplify.

12x=39 $\displaystyle 12x=39$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{39}{12}$ $\displaystyle \frac{12x}{12}=\frac{39}{12}$

Solve.

$x=3 \tfrac{3}{12} \ feet$ $\displaystyle x=3 \tfrac{3}{12} \ feet$

Reduce.

$x=3 \tfrac{1}{4} \ feet$ $\displaystyle x=3 \tfrac{1}{4} \ feet$

The carpenter needs $3 \tfrac{1}{4} \ feet$ $\displaystyle 3 \tfrac{1}{4} \ feet$ of material.

Report an Error

Example Question #1 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $87\ inches$ $\displaystyle 87\ inches$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$8 \tfrac{1}{5} \ feet$ $\displaystyle 8 \tfrac{1}{5} \ feet$

$8 \tfrac{1}{4} \ feet$ $\displaystyle 8 \tfrac{1}{4} \ feet$

$7 \tfrac{1}{4} \ feet$ $\displaystyle 7 \tfrac{1}{4} \ feet$

$6 \tfrac{3}{4} \ feet$ $\displaystyle 6 \tfrac{3}{4} \ feet$

$7 \tfrac{2}{5} \ feet$ $\displaystyle 7 \tfrac{2}{5} \ feet$

Correct answer:

$7 \tfrac{1}{4} \ feet$ $\displaystyle 7 \tfrac{1}{4} \ feet$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $87\ inches$ $\displaystyle 87\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$87\ inches:x\ feet\rightarrow \frac{87\ inches}{x\ feet}$ $\displaystyle 87\ inches:x\ feet\rightarrow \frac{87\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{87\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{87\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=87\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=87\ inches \times (1\ foot)$

Simplify.

12x=87 $\displaystyle 12x=87$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{87}{12}$ $\displaystyle \frac{12x}{12}=\frac{87}{12}$

Solve.

$x=7 \tfrac{3}{12} \ feet$ $\displaystyle x=7 \tfrac{3}{12} \ feet$

Reduce.

$x=7 \tfrac{1}{4} \ feet$ $\displaystyle x=7 \tfrac{1}{4} \ feet$

The carpenter needs $7 \tfrac{1}{4} \ feet$ $\displaystyle 7 \tfrac{1}{4} \ feet$ of material.

Report an Error

Example Question #1 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $144\ inches$ $\displaystyle 144\ inches$ of the moulding for the house. How many additional feet of the material will he need to purchase to finish the model?

Possible Answers:

$\displaystyle 6$

$\displaystyle 4$

$\displaystyle 8$

$\displaystyle 10$

$\displaystyle 2$

Correct answer:

$\displaystyle 4$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $144\ inches$ $\displaystyle 144\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$144\ inches:x\ feet\rightarrow \frac{144\ inches}{x\ feet}$ $\displaystyle 144\ inches:x\ feet\rightarrow \frac{144\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{144\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{144\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=144\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=144\ inches \times (1\ foot)$

Simplify.

12x=144 $\displaystyle 12x=144$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{144}{12}$ $\displaystyle \frac{12x}{12}=\frac{144}{12}$

Solve.

$x=12 \ feet$ $\displaystyle x=12 \ feet$

The carpenter needs $12 \ feet$ $\displaystyle 12 \ feet$ of material. Since he already has 8 feet $\displaystyle 8 feet$ he will need to purchase $\displaystyle 4$ more to finish the project.

Report an Error

Example Question #91 : Ratio And Proportion

A carpenter is making a model house and he buys $8\ feet$ $\displaystyle 8\ feet$ of crown moulding to use as accent pieces. He needs $164\ inches$ $\displaystyle 164\ inches$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$13 \tfrac{1}{5} \ feet$ $\displaystyle 13 \tfrac{1}{5} \ feet$

$13 \tfrac{1}{3} \ feet$ $\displaystyle 13 \tfrac{1}{3} \ feet$

$11 \tfrac{2}{3} \ feet$ $\displaystyle 11 \tfrac{2}{3} \ feet$

$13 \tfrac{2}{3} \ feet$ $\displaystyle 13 \tfrac{2}{3} \ feet$

$12 \tfrac{1}{3} \ feet$ $\displaystyle 12 \tfrac{1}{3} \ feet$

Correct answer:

$13 \tfrac{2}{3} \ feet$ $\displaystyle 13 \tfrac{2}{3} \ feet$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $164\ inches$ $\displaystyle 164\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$164\ inches:x\ feet\rightarrow \frac{164\ inches}{x\ feet}$ $\displaystyle 164\ inches:x\ feet\rightarrow \frac{164\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{164\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{164\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=164\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=164\ inches \times (1\ foot)$

Simplify.

12x=164 $\displaystyle 12x=164$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{164}{12}$ $\displaystyle \frac{12x}{12}=\frac{164}{12}$

Solve.

$x=13 \tfrac{8}{12} \ feet$ $\displaystyle x=13 \tfrac{8}{12} \ feet$

Reduce.

$x=13 \tfrac{2}{3} \ feet$ $\displaystyle x=13 \tfrac{2}{3} \ feet$

The carpenter needs $13 \tfrac{2}{3} \ feet$ $\displaystyle 13 \tfrac{2}{3} \ feet$ of material.

Report an Error

Example Question #3 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown molding to use as accent pieces. He needs $18\textup{ inches}$ $\displaystyle 18\textup{ inches}$ of the molding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$1 \tfrac{2}{3} \textup{ feet}$ $\displaystyle 1 \tfrac{2}{3} \textup{ feet}$

$2 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 2 \tfrac{1}{2} \textup{ feet}$

$3 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 3 \tfrac{1}{2} \textup{ feet}$

$1 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 1 \tfrac{1}{2} \textup{ feet}$

$2 \tfrac{3}{4} \textup{ feet}$ $\displaystyle 2 \tfrac{3}{4} \textup{ feet}$

Correct answer:

$1 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 1 \tfrac{1}{2} \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $18\ inches$ $\displaystyle 18\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$18\ inches:x\ feet\rightarrow \frac{18\ inches}{x\ feet}$ $\displaystyle 18\ inches:x\ feet\rightarrow \frac{18\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{18\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{18\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=18\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=18\ inches \times (1\ foot)$

Simplify.

12x=18 $\displaystyle 12x=18$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{18}{12}$ $\displaystyle \frac{12x}{12}=\frac{18}{12}$

Solve.

$x=1 \tfrac{1}{2} \ feet$ $\displaystyle x=1 \tfrac{1}{2} \ feet$

The carpenter needs $1 \tfrac{1}{2} \ feet$ $\displaystyle 1 \tfrac{1}{2} \ feet$ of material.

Report an Error

Example Question #4 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $9\textup{ inches}$ $\displaystyle 9\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$\frac {2}{3} \textup{ feet}$ $\displaystyle \frac {2}{3} \textup{ feet}$

$\frac {1}{2} \textup{ feet}$ $\displaystyle \frac {1}{2} \textup{ feet}$

$\frac {1}{4} \textup{ feet}$ $\displaystyle \frac {1}{4} \textup{ feet}$

$\frac {3}{5} \textup{ feet}$ $\displaystyle \frac {3}{5} \textup{ feet}$

$\frac {3}{4} \textup{ feet}$ $\displaystyle \frac {3}{4} \textup{ feet}$

Correct answer:

$\frac {3}{4} \textup{ feet}$ $\displaystyle \frac {3}{4} \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $9 \ inches$ $\displaystyle 9 \ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$9\ inches:x\ feet\rightarrow \frac{9\ inches}{x\ feet}$ $\displaystyle 9\ inches:x\ feet\rightarrow \frac{9\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{9\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{9\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=9\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=9\ inches \times (1\ foot)$

Simplify.

12x=9 $\displaystyle 12x=9$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{9}{12}$ $\displaystyle \frac{12x}{12}=\frac{9}{12}$

Solve.

$x=\frac{9}{12} \ feet$ $\displaystyle x=\frac{9}{12} \ feet$

Reduce.

$x=\frac{3}{4} \ feet$ $\displaystyle x=\frac{3}{4} \ feet$

The carpenter needs $\frac {3}{4} \ feet$ $\displaystyle \frac {3}{4} \ feet$ of material.

Report an Error

Example Question #2 : Solving Word Problems With One Unit Conversion

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $24\textup{ inches}$ $\displaystyle 24\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$1 \tfrac{1}{2}\textup{ feet}$ $\displaystyle 1 \tfrac{1}{2}\textup{ feet}$

$2 \tfrac{2}{3}\textup{ feet}$ $\displaystyle 2 \tfrac{2}{3}\textup{ feet}$

$2 \textup{ feet}$ $\displaystyle 2 \textup{ feet}$

$2 \tfrac{3}{4}\textup{ feet}$ $\displaystyle 2 \tfrac{3}{4}\textup{ feet}$

$2 \tfrac{1}{2}\textup{ feet}$ $\displaystyle 2 \tfrac{1}{2}\textup{ feet}$

Correct answer:

$2 \textup{ feet}$ $\displaystyle 2 \textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $24\ inches$ $\displaystyle 24\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$24\ inches:x\ feet\rightarrow \frac{24\ inches}{x\ feet}$ $\displaystyle 24\ inches:x\ feet\rightarrow \frac{24\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{24\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{24\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=24\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=24\ inches \times (1\ foot)$

Simplify.

12x=24 $\displaystyle 12x=24$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{24}{12}$ $\displaystyle \frac{12x}{12}=\frac{24}{12}$

Solve.

$x=2 \ feet$ $\displaystyle x=2 \ feet$

The carpenter needs $2 \ feet$ $\displaystyle 2 \ feet$ of material.

Report an Error

Example Question #4 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

A carpenter is making a model house and he buys $8\textup{ feet}$ $\displaystyle 8\textup{ feet}$ of crown moulding to use as accent pieces. He needs $38\textup{ inches}$ $\displaystyle 38\textup{ inches}$ of the moulding for the house. How many feet of the material does he need to finish the model?

Possible Answers:

$3 \tfrac{3}{4}\textup{ feet}$ $\displaystyle 3 \tfrac{3}{4}\textup{ feet}$

$3 \tfrac{1}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{1}{6}\textup{ feet}$

$2 \tfrac{5}{6}\textup{ feet}$ $\displaystyle 2 \tfrac{5}{6}\textup{ feet}$

$3 \tfrac{5}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{5}{6}\textup{ feet}$

$3 \tfrac{1}{2} \textup{ feet}$ $\displaystyle 3 \tfrac{1}{2} \textup{ feet}$

Correct answer:

$3 \tfrac{1}{6}\textup{ feet}$ $\displaystyle 3 \tfrac{1}{6}\textup{ feet}$

Explanation:

We can solve this problem using ratios. There are $12\ inches$ $\displaystyle 12\ inches$ in $1\ foot$ $\displaystyle 1\ foot$. We can write this relationship as the following ratio:

$12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$ $\displaystyle 12\ inches:1\ foot\rightarrow \frac{12\ inches}{1\ foot}$

We know that the carpenter needs $38\ inches$ $\displaystyle 38\ inches$ of material to finish the house. We can write this as a ratio using the variable $\displaystyle x$ to substitute the amount of feet.

$38\ inches:x\ feet\rightarrow \frac{38\ inches}{x\ feet}$ $\displaystyle 38\ inches:x\ feet\rightarrow \frac{38\ inches}{x\ feet}$

Now, we can solve for $\displaystyle x$ by creating a proportion using our two ratios.

$\frac{12\ inches}{1\ foot}=\frac{38\ inches}{x\ feet}$ $\displaystyle \frac{12\ inches}{1\ foot}=\frac{38\ inches}{x\ feet}$

Cross multiply and solve for $\displaystyle x$.

$12\ inches \times (x\ feet)=38\ inches \times (1\ foot)$ $\displaystyle 12\ inches \times (x\ feet)=38\ inches \times (1\ foot)$

Simplify.

12x=38 $\displaystyle 12x=38$

Divide both sides by $\displaystyle 12$.

$\frac{12x}{12}=\frac{38}{12}$ $\displaystyle \frac{12x}{12}=\frac{38}{12}$

Solve.

$x=3 \tfrac{2}{12} \ feet$ $\displaystyle x=3 \tfrac{2}{12} \ feet$

Reduce.

$x=3 \tfrac{1}{6} \ feet$ $\displaystyle x=3 \tfrac{1}{6} \ feet$

The carpenter needs $3 \tfrac{1}{6} \ feet$ $\displaystyle 3 \tfrac{1}{6} \ feet$ of material.

Report an Error

View Tutors

David
Certified Tutor

Kent State University, Bachelors, Marketing. Kent State University at Kent, Masters in Education, Special Education.

View Tutors

Amanda
Certified Tutor

Seattle University, Current Undergrad Student, Applied Mathematics.

View Tutors

Marlene
Certified Tutor

Herbert Lehman, Bachelors, Recreation Education. Long Island University-Brooklyn Campus, Masters, Special Education.

All Common Core: 6th Grade Math Resources

6 Diagnostic Tests 186 Practice Tests Question of the Day Flashcards Learn by Concept

Popular Subjects

Calculus Tutors in Dallas Fort Worth, MCAT Tutors in New York City, Computer Science Tutors in Boston, Chemistry Tutors in Phoenix, Math Tutors in Philadelphia, English Tutors in Washington DC, ACT Tutors in San Francisco-Bay Area, Reading Tutors in San Francisco-Bay Area, Algebra Tutors in Atlanta, ISEE Tutors in Los Angeles

Popular Courses & Classes

GMAT Courses & Classes in Los Angeles, ACT Courses & Classes in Seattle, GRE Courses & Classes in Atlanta, GRE Courses & Classes in San Francisco-Bay Area, LSAT Courses & Classes in Houston, ACT Courses & Classes in Chicago, GRE Courses & Classes in Dallas Fort Worth, SSAT Courses & Classes in Denver, MCAT Courses & Classes in Dallas Fort Worth, ACT Courses & Classes in Los Angeles

Popular Test Prep

ACT Test Prep in Chicago, GRE Test Prep in San Francisco-Bay Area, ACT Test Prep in Los Angeles, ACT Test Prep in Seattle, SAT Test Prep in San Francisco-Bay Area, SSAT Test Prep in Boston, ACT Test Prep in Denver, SSAT Test Prep in Phoenix, SAT Test Prep in Los Angeles, GMAT Test Prep in Chicago

DMCA Complaint

If you believe that content available by means of the Website (as defined in our Terms of Service) infringes one or more of your copyrights, please notify us by providing a written notice (“Infringement Notice”) containing the information described below to the designated agent listed below. If Varsity Tutors takes action in response to an Infringement Notice, it will make a good faith attempt to contact the party that made such content available by means of the most recent email address, if any, provided by such party to Varsity Tutors.

Your Infringement Notice may be forwarded to the party that made the content available or to third parties such as ChillingEffects.org.

Please be advised that you will be liable for damages (including costs and attorneys’ fees) if you materially misrepresent that a product or activity is infringing your copyrights. Thus, if you are not sure content located on or linked-to by the Website infringes your copyright, you should consider first contacting an attorney.

Please follow these steps to file a notice:

You must include the following:

A physical or electronic signature of the copyright owner or a person authorized to act on their behalf; An identification of the copyright claimed to have been infringed; A description of the nature and exact location of the content that you claim to infringe your copyright, in \ sufficient detail to permit Varsity Tutors to find and positively identify that content; for example we require a link to the specific question (not just the name of the question) that contains the content and a description of which specific portion of the question – an image, a link, the text, etc – your complaint refers to; Your name, address, telephone number and email address; and A statement by you: (a) that you believe in good faith that the use of the content that you claim to infringe your copyright is not authorized by law, or by the copyright owner or such owner’s agent; (b) that all of the information contained in your Infringement Notice is accurate, and (c) under penalty of perjury, that you are either the copyright owner or a person authorized to act on their behalf.

Send your complaint to our designated agent at:

Charles Cohn Varsity Tutors LLC
101 S. Hanley Rd, Suite 300
St. Louis, MO 63105

Or fill out the form below:

Do not fill in this field

Contact Information

* Full legal name

Company name

* Phone number

* Email address

Address

* Address1

Address2

* City

* State

* Zipcode

* Country

Complaint Details

* URL of copyrighted work (where your original material is located)

* Please describe the copyrighted work so that it may be easily identified

I am the owner, or an agent authorized to act on behalf of the owner of an exclusive right that is allegedly infringed.

I have a good faith belief that the use of the material in the manner complained of is not authorized by the copyright owner, its agent, or the law.

This notification is accurate.

I acknowledge that there may be adverse legal consequences for making false or bad faith allegations of copyright infringement by using this process.

* Signature (your digital signature is legally binding)

HIGH SCHOOL

GRADUATE SCHOOL

K-8

Search 50+ Tests

math tutoring

science tutoring

foreign languages

elementary tutoring

other

Search 350+ Subjects

Common Core: 6th Grade Math : Use Ratio Reasoning to Convert Measurement Units: CCSS.Math.Content.6.RP.A.3d

Study concepts, example questions & explanations for Common Core: 6th Grade Math

All Common Core: 6th Grade Math Resources

Example Questions

Example Question #1 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

Example Question #2 : Conversions

Example Question #93 : Numbers And Operations

Example Question #1 : Solving Word Problems With One Unit Conversion

Example Question #1 : Solving Word Problems With One Unit Conversion

Example Question #91 : Ratio And Proportion

Example Question #3 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

Example Question #4 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

Example Question #2 : Solving Word Problems With One Unit Conversion

Example Question #4 : Use Ratio Reasoning To Convert Measurement Units: Ccss.Math.Content.6.Rp.A.3d

All Common Core: 6th Grade Math Resources

Report an issue with this question

DMCA Complaint

Contact Information

Address

Complaint Details

Email address:
Your name:
Feedback: