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

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

Questions 1 - 10

1

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

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

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

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

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

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

Explanation

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

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

2

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

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

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

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

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

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

Explanation

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

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

3

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

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

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

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

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

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

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.

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

4

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

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

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

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

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

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

Explanation

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

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

5

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

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

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

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

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

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

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.

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

6

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

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

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

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

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

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

Explanation

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

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

7

Which option is equal to:

$17\frac{4}{10}$

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

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

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

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

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

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.

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

8

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

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

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

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

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

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

Explanation

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

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

9

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

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

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

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

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

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

Explanation

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

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

10

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

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

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

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

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

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

Explanation

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

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

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