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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

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Example Question #31 : Build Fractions From Unit Fractions

$18\frac{4}{12}$ is equal to which of the options below?

Possible Answers:

$13\frac{1}{12}+5\frac{3}{12}$

$13\frac{3}{12}+5\frac{3}{12}$

$13\frac{2}{12}+5\frac{3}{12}$

$14\frac{2}{12}+5\frac{3}{12}$

$13\frac{3}{12}+7\frac{3}{12}$

Correct answer:

$13\frac{1}{12}+5\frac{3}{12}$

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.

$13\frac{1}{12}+5\frac{3}{12}=18\frac{4}{12}$

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Example Question #31 : Build Fractions From Unit Fractions

$11\frac{7}{12}$ is equal to which of the options below?

Possible Answers:

$5\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

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

$4\frac{2}{12}+2\frac{1}{12}+4\frac{5}{12}$

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

$4\frac{2}{12}+2\frac{1}{12}+6\frac{4}{12}$

Correct answer:

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}$

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.

$4\frac{2}{12}+2\frac{1}{12}+4\frac{4}{12}=11\frac{7}{12}$

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Example Question #32 : Build Fractions From Unit Fractions

$36\frac{11}{12}$ is equal to which of the options below?

Possible Answers:

$15\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+11\frac{4}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

$15\frac{5}{12}+10\frac{3}{12}+14\frac{2}{12}$

Correct answer:

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}$

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.

$12\frac{5}{12}+10\frac{4}{12}+14\frac{2}{12}=36\frac{11}{12}$

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Example Question #33 : Build Fractions From Unit Fractions

$16\frac{8}{12}$ is equal to which of the options below?

Possible Answers:

$7\frac{3}{12}+4\frac{2}{12}+4\frac{3}{12}$

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$7\frac{1}{12}+4\frac{2}{12}+4\frac{3}{12}$

$8\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

$8\frac{3}{12}+4\frac{3}{12}+5\frac{3}{12}$

Correct answer:

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}$

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.

$7\frac{3}{12}+4\frac{2}{12}+5\frac{3}{12}=16\frac{8}{12}$

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Example Question #34 : Build Fractions From Unit Fractions

$25\frac{13}{14}$ is equal to which of the options below?

Possible Answers:

$13\frac{9}{14}+12\frac{4}{14}$

$13\frac{10}{14}+12\frac{4}{14}$

$11\frac{9}{14}+12\frac{4}{14}$

$13\frac{9}{14}+12\frac{6}{14}$

$13\frac{9}{14}+14\frac{4}{14}$

Correct answer:

$13\frac{9}{14}+12\frac{4}{14}$

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.

$13\frac{9}{14}+12\frac{4}{14}=25\frac{13}{14}$

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Example Question #35 : Build Fractions From Unit Fractions

$28\frac{7}{14}$ is equal to which of the options below?

Possible Answers:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

$13\frac{2}{14}+6\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+12\frac{2}{14}+6\frac{3}{14}$

$11\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

$13\frac{2}{14}+9\frac{2}{14}+7\frac{3}{14}$

Correct answer:

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}$

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.

$13\frac{2}{14}+9\frac{2}{14}+6\frac{3}{14}=28\frac{7}{14}$

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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 #31 : Build Fractions From Unit Fractions

Example Question #31 : Build Fractions From Unit Fractions

Example Question #32 : Build Fractions From Unit Fractions

Example Question #33 : Build Fractions From Unit Fractions

Example Question #34 : Build Fractions From Unit Fractions

Example Question #35 : Build Fractions From Unit Fractions

All Common Core: 4th Grade Math Resources

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