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Common Core: 4th Grade Math : Build fractions from unit fractions

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 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{8}$ $\displaystyle \frac{3}{8}$ is equal to which of the options below?

Possible Answers:

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

$\frac{3}{8}+\frac{1}{8}$ $\displaystyle \frac{3}{8}+\frac{1}{8}$

$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}+\frac{1}{8}$

$\frac{2}{8}+\frac{2}{}8$ $\displaystyle \frac{2}{8}+\frac{2}{}8$

$\frac{4}{8}+\frac{1}{8}$ $\displaystyle \frac{4}{8}+\frac{1}{8}$

Correct answer:

$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}+\frac{1}{8}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{3}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}+\frac{1}{8}=\frac{3}{8}$

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Example Question #2 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{4}$ $\displaystyle \frac{2}{4}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

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

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Example Question #3 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{4}$ $\displaystyle \frac{3}{4}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

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

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Example Question #4 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{6}$ $\displaystyle \frac{2}{6}$ is equal to which of the options below?

Possible Answers:

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

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

$\frac{1}{6}+\frac{1}{6}+\frac{1}{3}$ $\displaystyle \frac{1}{6}+\frac{1}{6}+\frac{1}{3}$

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

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

Correct answer:

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

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{6}+\frac{1}{6}=\frac{2}{6}$ $\displaystyle \frac{1}{6}+\frac{1}{6}=\frac{2}{6}$

Report an Error

Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{5}$ $\displaystyle \frac{3}{5}$ is equal to which of the options below?

Possible Answers:

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

$\frac{1}{5}+\frac{1}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}$

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}5{}$ $\displaystyle \frac{1}{5}+\frac{1}{5}+\frac{1}{5}+\frac{1}5{}$

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

$\frac{1}{2}+\frac{2}{3}+\frac{1}{5}$ $\displaystyle \frac{1}{2}+\frac{2}{3}+\frac{1}{5}$

Correct answer:

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{3}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}+\frac{1}{5}=\frac{3}{5}$

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Example Question #6 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{7}$ $\displaystyle \frac{2}{7}$ is equal to which of the options below?

Possible Answers:

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

$\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ $\displaystyle \frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

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

$\frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$ $\displaystyle \frac{1}{7}+\frac{1}{7}+\frac{1}{7}+\frac{1}{7}$

$\frac{1}{7}+\frac{1}{7}$ $\displaystyle \frac{1}{7}+\frac{1}{7}$

Correct answer:

$\frac{1}{7}+\frac{1}{7}$ $\displaystyle \frac{1}{7}+\frac{1}{7}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{7}+\frac{1}{7}=\frac{2}{7}$ $\displaystyle \frac{1}{7}+\frac{1}{7}=\frac{2}{7}$

Report an Error

Example Question #7 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{2}{3}$ $\displaystyle \frac{2}{3}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

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

Report an Error

Example Question #1 : Build Fractions From Unit Fractions

$\frac{2}{8}$ $\displaystyle \frac{2}{8}$ is equal to which of the options below?

Possible Answers:

$\frac{3}{2}+\frac{1}{4}$ $\displaystyle \frac{3}{2}+\frac{1}{4}$

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

$\frac{1}{8}+\frac{1}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}$

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

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

Correct answer:

$\frac{1}{8}+\frac{1}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{8}+\frac{1}{8}=\frac{2}{8}$ $\displaystyle \frac{1}{8}+\frac{1}{8}=\frac{2}{8}$

Report an Error

Example Question #1 : Build Fractions From Unit Fractions

$\frac{3}{9}$ $\displaystyle \frac{3}{9}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

$\frac{1}{5}+\frac{2}{5}$ $\displaystyle \frac{1}{5}+\frac{2}{5}$

$\frac{1}{4}+\frac{2}{5}$ $\displaystyle \frac{1}{4}+\frac{2}{5}$

$\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}$

Correct answer:

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{9}+\frac{1}{9}+\frac{1}{9}=\frac{3}{9}$ $\displaystyle \frac{1}{9}+\frac{1}{9}+\frac{1}{9}=\frac{3}{9}$

Report an Error

Example Question #1 : Build Fractions From Unit Fractions

$\frac{2}{10}$ $\displaystyle \frac{2}{10}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{5}+\frac{1}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}$

$\frac{2}{5}+\frac{1}{10}$ $\displaystyle \frac{2}{5}+\frac{1}{10}$

$\frac{1}{5}+\frac{1}{5}+\frac{1}{5}$ $\displaystyle \frac{1}{5}+\frac{1}{5}+\frac{1}{5}$

$\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}$

$\frac{1}{10}+\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}+\frac{1}{10}$

Correct answer:

$\frac{1}{10}+\frac{1}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}$

Explanation:

When we add fractions, we have to have common denominators and we only add the numerators.

$\frac{1}{10}+\frac{1}{10}=\frac{2}{10}$ $\displaystyle \frac{1}{10}+\frac{1}{10}=\frac{2}{10}$

Report an Error

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All Common Core: 4th Grade Math Resources

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Common Core: 4th Grade Math : Build fractions from unit fractions

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #1 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #2 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #3 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #4 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #5 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #6 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #7 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #1 : Build Fractions From Unit Fractions

Example Question #1 : Build Fractions From Unit Fractions

Example Question #1 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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