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

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Example Question #21 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{8}{12}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

$\frac{3}{12}+\frac{2}{12}+\frac{4}{12}$

Correct answer:

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

Explanation:

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

$\frac{3}{12}+\frac{1}{12}+\frac{4}{12}=\frac{8}{12}$

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Example Question #21 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{13}{14}$ is equal to which of the options below?

Possible Answers:

$\frac{7}{14}+\frac{6}{14}+\frac{1}{14}$

$\frac{6}{14}+\frac{6}{14}$

$\frac{7}{14}+\frac{6}{14}$

$\frac{7}{14}+\frac{7}{14}$

$\frac{7}{14}+\frac{5}{14}$

Correct answer:

$\frac{7}{14}+\frac{6}{14}$

Explanation:

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

$\frac{7}{14}+\frac{6}{14}=\frac{13}{14}$

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Example Question #22 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{7}{14}$ is equal to which of the options below?

Possible Answers:

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}$

$\frac{5}{14}+\frac{1}{14}+\frac{4}{14}$

$\frac{2}{14}+\frac{3}{14}+\frac{4}{14}$

$\frac{2}{14}+\frac{1}{14}+\frac{2}{14}$

$\frac{2}{14}+\frac{1}{14}+\frac{5}{14}$

Correct answer:

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}$

Explanation:

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

$\frac{2}{14}+\frac{1}{14}+\frac{4}{14}=\frac{7}{14}$

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Example Question #22 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

$\frac{5}{8}$ is equal to which of the options below?

Possible Answers:

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

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

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

$\frac{7}{8}+\frac{1}{8}$

$\frac{5}{8}+\frac{2}{8}$

Correct answer:

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

Explanation:

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

$\frac{1}{8}+\frac{2}{8}+\frac{2}{8}=\frac{5}{8}$

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Example Question #325 : Fractions

$4\frac{3}{8}$ is equal to which of the options below?

Possible Answers:

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

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

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

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

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

Correct answer:

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

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$2\frac{2}{8}+2\frac{1}{8}=4\frac{3}{8}$

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Example Question #326 : Fractions

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

Possible Answers:

$3\frac{2}{9}+4\frac{6}{9}$

$3\frac{1}{9}+4\frac{5}{9}$

$3\frac{2}{9}+4\frac{5}{9}+\frac{1}{9}$

$4\frac{2}{9}+4\frac{5}{9}$

$3\frac{2}{9}+4\frac{5}{9}$

Correct answer:

$3\frac{2}{9}+4\frac{5}{9}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$3\frac{2}{9}+4\frac{5}{9}=7\frac{7}{9}$

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Example Question #327 : Fractions

$11\frac{5}{8}$ is equal to which of the options below?

Possible Answers:

$4\frac{1}{8}+1\frac{2}{8}+6\frac{3}{8}$

$4\frac{2}{8}+1\frac{2}{8}+6\frac{2}{8}$

$4\frac{1}{8}+1\frac{2}{8}+5\frac{2}{8}$

$4\frac{1}{8}+2\frac{2}{8}+6\frac{2}{8}$

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$

Correct answer:

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$4\frac{1}{8}+1\frac{2}{8}+6\frac{2}{8}=11\frac{5}{8}$

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Example Question #218 : How To Add Fractions

Which option is equal to:

$17\frac{4}{10}$

Possible Answers:

$11\frac{1}{10}+6\frac{2}{10}$

$11\frac{2}{10}+6\frac{2}{10}$

$11\frac{2}{10}+5\frac{2}{10}$

$11\frac{1}{10}+5\frac{2}{10}$

$12\frac{2}{10}+6\frac{2}{10}$

Correct answer:

$11\frac{2}{10}+6\frac{2}{10}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$11\frac{2}{10}+6\frac{2}{10}=17\frac{4}{10}$

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Example Question #328 : Fractions

$21\frac{7}{8}$ is equal to which of the options below?

Possible Answers:

$7\frac{2}{8}+6\frac{1}{8}+7\frac{4}{8}$

$7\frac{2}{8}+5\frac{1}{8}+5\frac{4}{8}$

$9\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}$

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

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

Correct answer:

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

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$7\frac{2}{8}+7\frac{1}{8}+7\frac{4}{8}=21\frac{7}{8}$

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Example Question #1471 : Ssat Middle Level Quantitative (Math)

$14\frac{6}{10}$ is equal to which of the options below?

Possible Answers:

$3\frac{1}{10}+6\frac{2}{10}+5\frac{2}{10}$

$3\frac{2}{10}+6\frac{3}{10}+5\frac{2}{10}$

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$

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

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

Correct answer:

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}$

Explanation:

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

Don't forget, when we add fractions, we have to have common denominators and we only add the numerators.

$3\frac{2}{10}+6\frac{2}{10}+5\frac{2}{10}=14\frac{6}{10}$

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

Example Question #21 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #22 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #22 : Decompose A Fraction Into A Sum Of Fractions: Ccss.Math.Content.4.Nf.B.3b

Example Question #325 : Fractions

Example Question #326 : Fractions

Example Question #327 : Fractions

Example Question #218 : How To Add Fractions

Example Question #328 : Fractions

Example Question #1471 : Ssat Middle Level Quantitative (Math)

All Common Core: 4th Grade Math Resources

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