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Common Core: 4th Grade Math : Decompose a Fraction into a Sum of Fractions: CCSS.Math.Content.4.NF.B.3b

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

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All Common Core: 4th Grade Math Resources

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Example Questions

Example Question #11 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{3}{12}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}$

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

$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}+\frac{1}{12}$

$\frac{1}{12}+\frac{1}{12}$

$\frac{1}{4}+\frac{1}{3}+\frac{1}{5}$

Correct answer:

$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}$

Explanation:

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

$\frac{1}{12}+\frac{1}{12}+\frac{1}{12}=\frac{3}{12}$

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Example Question #11 : Build Fractions From Unit Fractions

$\frac{2}{5}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

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

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Example Question #12 : Build Fractions From Unit Fractions

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

Possible Answers:

$\frac{3}{8}+\frac{2}{8}$

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

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

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

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

Correct answer:

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

Explanation:

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

$\frac{2}{8}+\frac{1}{8}=\frac{3}{8}$

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Example Question #13 : Build Fractions From Unit Fractions

$\frac{7}{9}$ is equal to which of the options below?

Possible Answers:

$\frac{2}{9}+\frac{1}{9}+\frac{2}{9}$

$\frac{5}{9}+\frac{1}{9}$

$\frac{6}{9}+\frac{3}{9}$

$\frac{5}{9}+\frac{2}{9}+\frac{1}{9}$

$\frac{3}{9}+\frac{4}{9}$

Correct answer:

$\frac{3}{9}+\frac{4}{9}$

Explanation:

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

$\frac{3}{9}+\frac{4}{9}=\frac{7}{9}$

Report an Error

Example Question #14 : Build Fractions From Unit Fractions

$\frac{4}{10}$ is equal to which of the options below?

Possible Answers:

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

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

$\frac{1}{10}+\frac{3}{10}$

$\frac{4}{10}+\frac{2}{10}$

$\frac{2}{9}+\frac{2}{9}$

Correct answer:

$\frac{1}{10}+\frac{3}{10}$

Explanation:

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

$\frac{1}{10}+\frac{3}{10}=\frac{4}{10}$

Report an Error

Example Question #15 : Build Fractions From Unit Fractions

$\frac{7}{8}$ is equal to which of the options below?

Possible Answers:

$\frac{4}{8}+\frac{2}{8}$

$\frac{5}{8}+\frac{1}{8}$

$\frac{2}{8}+\frac{1}{8}+\frac{4}{8}$

$\frac{1}{9}+\frac{2}{9}+\frac{3}{9}$

$\frac{5}{9}+\frac{2}{9}$

Correct answer:

$\frac{2}{8}+\frac{1}{8}+\frac{4}{8}$

Explanation:

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

$\frac{2}{8}+\frac{1}{8}+\frac{4}{8}=\frac{7}{8}$

Report an Error

Example Question #16 : Build Fractions From Unit Fractions

$\frac{6}{10}$ is equal to which of the options below?

Possible Answers:

$\frac{1}{9}+\frac{2}{9}+\frac{3}{9}$

$\frac{1}{9}+\frac{2}{9}+\frac{4}{9}$

$\frac{2}{10}+\frac{3}{10}+\frac{1}{10}$

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

$\frac{3}{9}+\frac{3}{9}$

Correct answer:

$\frac{2}{10}+\frac{3}{10}+\frac{1}{10}$

Explanation:

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

$\frac{2}{10}+\frac{3}{10}+\frac{1}{10}=\frac{6}{10}$

Report an Error

Example Question #17 : Build Fractions From Unit Fractions

$\frac{4}{12}$ is equal to which of the options below?

Possible Answers:

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

$\frac{1}{12}+\frac{3}{12}$

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

$\frac{3}{7}+\frac{1}{7}$

$\frac{1}{12}+\frac{1}{12}$

Correct answer:

$\frac{1}{12}+\frac{3}{12}$

Explanation:

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

$\frac{1}{12}+\frac{3}{12}=\frac{4}{12}$

Report an Error

Example Question #18 : Build Fractions From Unit Fractions

$\frac{7}{12}$ is equal to which of the options below?

Possible Answers:

$\frac{3}{12}+\frac{3}{12}$

$\frac{3}{12}+\frac{1}{12}+\frac{3}{12}$

$\frac{1}{12}+\frac{4}{12}+\frac{1}{12}$

$\frac{2}{12}+\frac{2}{12}$

$\frac{2}{12}+\frac{5}{12}$

Correct answer:

$\frac{3}{12}+\frac{1}{12}+\frac{3}{12}$

Explanation:

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

$\frac{3}{12}+\frac{1}{12}+\frac{3}{12}=\frac{7}{12}$

Report an Error

Example Question #19 : Build Fractions From Unit Fractions

$\frac{11}{12}$ is equal to which of the options below?

Possible Answers:

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}$

$\frac{3}{12}+\frac{3}{12}$

$\frac{3}{12}+\frac{4}{12}+\frac{4}{12}$

$\frac{4}{12}+\frac{4}{12}$

$\frac{3}{12}+\frac{4}{12}$

Correct answer:

$\frac{3}{12}+\frac{4}{12}+\frac{4}{12}$

Explanation:

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

$\frac{3}{12}+\frac{4}{12}+\frac{4}{12}=\frac{11}{12}$

Report an Error

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Common Core: 4th Grade Math : Decompose a Fraction into a Sum of Fractions: CCSS.Math.Content.4.NF.B.3b

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

All Common Core: 4th Grade Math Resources

Example Questions

Example Question #11 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #11 : Build Fractions From Unit Fractions

Example Question #12 : Build Fractions From Unit Fractions

Example Question #13 : Build Fractions From Unit Fractions

Example Question #14 : Build Fractions From Unit Fractions

Example Question #15 : Build Fractions From Unit Fractions

Example Question #16 : Build Fractions From Unit Fractions

Example Question #17 : Build Fractions From Unit Fractions

Example Question #18 : Build Fractions From Unit Fractions

Example Question #19 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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