Number & Operations: Fractions

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4th Grade Math › Number & Operations: Fractions

Questions 1 - 10

1

$13\frac{1}{3}+7\frac{1}{3}$

$20\frac{2}{3}$

$19\frac{2}{3}$

$18\frac{2}{3}$

$21\frac{2}{3}$

$22\frac{2}{3}$

Explanation

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

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

Remember, when we are adding fractions we must have common denominators and we only add the numerators.

2

Fill in the blank with the correct sign.

Explanation

because of the digit in the hundredths place. which makes

3

What point on the number line is at

Decimal number line 7

Explanation

will be between and . Point is the only dot between those two numbers.

4

$3\times\frac{1}{7}=$

$\frac{3}{7}$

$\frac{2}{7}$

$\frac{1}{7}$

$\frac{4}{7}$

$\frac{5}{7}$

Explanation

$3\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ three times.

On our number line, we can make jumps of $\frac{1}{7}$

3 7 number line

5

$9\times\frac{1}{7}=$

$\frac{9}{7}=1\frac{2}{7}$

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

$\frac{7}{7}=1$

$\frac{6}{7}$

$\frac{5}{7}$

Explanation

$9\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ nine times.

On our number line, we can make jumps of $\frac{1}{7}$

9 7 number line

6

Select the fraction model that shows the difference of $\frac{6}{8}-\frac{3}{8}$

3 8

3 6

3 4

4 8

5 8

Explanation

$\frac{6}{8}-\frac{3}{8}=\frac{3}{8}$

The fraction model is broken up into eight pieces and three of the pieces are shaded in. The numerator of the fraction tells us how many pieces should be shaded in, and the denominator tells us how many pieces the whole should be split up into.

7

$\frac{3}{8}$ 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.

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

8

Andy is having a party. If each person at a party will eat $\frac{2}{7}$ of a pound of peanuts, and there will be people at the party, how many pounds of peanuts will Andy need? Select the choice with the whole numbers that your answer will be between.

and

and

and

and

and

Explanation

$\frac{5}{1}\times\frac{2}{7}=\frac{10}{7}$

$\frac{10}{7}=1\frac{3}{7}$ because can go into one time, with left over.

$1\frac{3}{7}$ is between the whole numbers and .

9

$9\times\frac{1}{7}=$

$\frac{9}{7}=1\frac{2}{7}$

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

$\frac{7}{7}=1$

$\frac{6}{7}$

$\frac{5}{7}$

Explanation

$9\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ nine times.

On our number line, we can make jumps of $\frac{1}{7}$

9 7 number line

10

What point on the number line is at

Decimal number line 7

Explanation

will be between and . Point is the only dot between those two numbers.

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