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Common Core: 4th Grade Math : Show Fractional Data on a Line Plot and Solve Problems by Using Line Plots : CCSS.Math.Content.4.MD.B.4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

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All Common Core: 4th Grade Math Resources

7 Diagnostic Tests 189 Practice Tests Question of the Day Flashcards Learn by Concept

Example Questions

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

How many hours do most students spend reading?

Possible Answers:

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

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

$\displaystyle 2$

$\displaystyle 3$

$\displaystyle 1$

Correct answer:

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

Explanation:

There are $\displaystyle 5$ x marks above $2\frac{1}{2}$ $\displaystyle 2\frac{1}{2}$ , which is the most marks above our data set numbers.

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Example Question #88 : Measurement & Data

Use the line plot to answer the question.

What is the difference between the longest time spent reading and the shortest time spent reading?

Possible Answers:

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

$\displaystyle 3$

$\displaystyle 1$

$\displaystyle 2$

$1\frac{2}{3}$ $\displaystyle 1\frac{2}{3}$

Correct answer:

$\displaystyle 2$

Explanation:

The shortest time spent reading is $\displaystyle 1$ hour, and the longest time spent reading is $\displaystyle 3$ hours. We can subtract to find the difference.

3-1=2 $\displaystyle 3-1=2$

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Example Question #3 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

One student spends $1\frac{1}{4}$ $\displaystyle 1\frac{1}{4}$ hours reading and three students spend $2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

$\displaystyle 2$

$\displaystyle 1$

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

$3\frac{2}{4}$ $\displaystyle 3\frac{2}{4}$

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

Correct answer:

$\displaystyle 1$

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

2-1=1 $\displaystyle 2-1=1$

$\frac{1}{4}-\frac{1}{4}=0$ $\displaystyle \frac{1}{4}-\frac{1}{4}=0$

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Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Three students spend $2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$ hours reading and five students spend $2\frac{1}{2}$ $\displaystyle 2\frac{1}{2}$ hours reading. What is the difference in time spent reading?

Possible Answers:

$1\frac{2}{4}$ $\displaystyle 1\frac{2}{4}$

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

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

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

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

Correct answer:

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

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

2-2=0 $\displaystyle 2-2=0$

$\frac{1}{2}-\frac{1}{4}$ $\displaystyle \frac{1}{2}-\frac{1}{4}$ in order to subtract fractions we need to make common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

$\frac{2}{4}-\frac{1}{4}=\frac{1}{4}$ $\displaystyle \frac{2}{4}-\frac{1}{4}=\frac{1}{4}$

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Example Question #5 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Two students spend $1\frac{1}{2}$ $\displaystyle 1\frac{1}{2}$ hours reading and four students spend $1\frac{3}{4}$ $\displaystyle 1\frac{3}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

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

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

$1\frac{3}{4}$ $\displaystyle 1\frac{3}{4}$

$\frac{1}{3}$ $\displaystyle \frac{1}{3}$

$1\frac{1}{3}$ $\displaystyle 1\frac{1}{3}$

Correct answer:

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

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

1-1=0 $\displaystyle 1-1=0$

$\frac{3}{4}-\frac{1}{2}$ $\displaystyle \frac{3}{4}-\frac{1}{2}$ in order to subtract fractions we need to make common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$ $\displaystyle \frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

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Example Question #6 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Two students spend $2\frac{3}{4}$ $\displaystyle 2\frac{3}{4}$ hours reading and three students spend $2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

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

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

$2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$

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

$3\frac{1}{4}$ $\displaystyle 3\frac{1}{4}$

Correct answer:

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

2-2=0 $\displaystyle 2-2=0$

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$ $\displaystyle \frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

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Example Question #7 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Two students spend $1\frac{1}{2}$ $\displaystyle 1\frac{1}{2}$ hours reading and three students spend $2\frac{3}{4}$ $\displaystyle 2\frac{3}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

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

$1\frac{3}{4}$ $\displaystyle 1\frac{3}{4}$

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

$\displaystyle 1$

$1\frac{2}{4}$ $\displaystyle 1\frac{2}{4}$

Correct answer:

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

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

2-1=1 $\displaystyle 2-1=1$

$\frac{3}{4}-\frac{1}{2}$ $\displaystyle \frac{3}{4}-\frac{1}{2}$ in order to subtract fractions we need to make common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

$\frac{3}{4}-\frac{2}{4}=\frac{1}{4}$ $\displaystyle \frac{3}{4}-\frac{2}{4}=\frac{1}{4}$

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Example Question #8 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Four students spend $\displaystyle 3$ hours reading and one student spends $1\frac{1}{4}$ $\displaystyle 1\frac{1}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

$1\frac{2}{4}$ $\displaystyle 1\frac{2}{4}$

$2\frac{2}{4}$ $\displaystyle 2\frac{2}{4}$

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

$2\frac{3}{4}$ $\displaystyle 2\frac{3}{4}$

$2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$

Correct answer:

$2\frac{1}{4}$ $\displaystyle 2\frac{1}{4}$

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

3-1=2 $\displaystyle 3-1=2$

$\frac{1}{4}-0=\frac{1}{4}$ $\displaystyle \frac{1}{4}-0=\frac{1}{4}$

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Example Question #9 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Two students spend $2\frac{3}{4}$ $\displaystyle 2\frac{3}{4}$ hours reading and one student spens $1\frac{1}{4}$ $\displaystyle 1\frac{1}{4}$ hours reading. What is the difference in time spent reading?

Possible Answers:

$\displaystyle 2$

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

$2\frac{2}{4}$ $\displaystyle 2\frac{2}{4}$

$1\frac{3}{4}$ $\displaystyle 1\frac{3}{4}$

$1\frac{2}{4}$ $\displaystyle 1\frac{2}{4}$

Correct answer:

$1\frac{2}{4}$ $\displaystyle 1\frac{2}{4}$

Explanation:

When we subtract mixed numbers we subtract the whole numbers by the whole numbers and the fractions by the fractions.

2-1=1 $\displaystyle 2-1=1$

$\frac{3}{4}-\frac{1}{4}=\frac{2}{4}$ $\displaystyle \frac{3}{4}-\frac{1}{4}=\frac{2}{4}$

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Example Question #10 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Use the line plot to answer the question.

Two students read $1\frac{1}{2}$ $\displaystyle 1\frac{1}{2}$ hours, $\displaystyle 2$ hours, and $2\frac{3}{4}$ $\displaystyle 2\frac{3}{4}$ hours. What are all of these times added together?

Possible Answers:

$6\frac{1}{4}$ $\displaystyle 6\frac{1}{4}$

$\displaystyle 5$

$5\frac{3}{4}$ $\displaystyle 5\frac{3}{4}$

$\displaystyle 6$

$\displaystyle 4$

Correct answer:

$6\frac{1}{4}$ $\displaystyle 6\frac{1}{4}$

Explanation:

When we add mixed numbers we add the whole numbers to the whole numbers and the fractions to the fractions.

1+2+2=5 $\displaystyle 1+2+2=5$

$\frac{1}{2}+\frac{3}{4}$ $\displaystyle \frac{1}{2}+\frac{3}{4}$ in order to add fractions we need to make common denominators.

$\frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$ $\displaystyle \frac{1}{2}\times\frac{2}{2}=\frac{2}{4}$

$\frac{2}{4}-\frac{3}{4}=\frac{5}{4}$ $\displaystyle \frac{2}{4}-\frac{3}{4}=\frac{5}{4}$

$\frac{5}{4}=1\frac{1}{4}$ $\displaystyle \frac{5}{4}=1\frac{1}{4}$

$5+1\frac{1}{4}=6\frac{1}{4}$ $\displaystyle 5+1\frac{1}{4}=6\frac{1}{4}$

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Show Fractional Data on a Line Plot and Solve Problems by Using Line Plots : CCSS.Math.Content.4.MD.B.4

Study concepts, example questions & explanations for Common Core: 4th Grade Math

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #88 : Measurement & Data

Example Question #3 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #1 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #5 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #6 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #7 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #8 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #9 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

Example Question #10 : Show Fractional Data On A Line Plot And Solve Problems By Using Line Plots : Ccss.Math.Content.4.Md.B.4

All Common Core: 4th Grade Math Resources

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