How to multiply fractions

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SSAT Middle Level Quantitative › How to multiply fractions

Questions 1 - 10

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

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

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

$\frac{6}{7}$

$\frac{5}{7}$

$\frac{4}{7}$

Explanation

$8\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ eight times.

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

8 7 number line

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

$\frac{3}{7}$

$\frac{2}{7}$

$\frac{1}{7}$

$\frac{4}{7}$

$\frac{5}{7}$

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

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

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

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

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

$\frac{6}{7}$

$\frac{5}{7}$

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

$4\times\frac{1}{7}=$

$\frac{4}{7}$

$\frac{1}{28}$

$4\frac{1}{7}$

$\frac{4}{28}$

Explanation

When we multiply a fraction by a whole number we need to make the whole number into a fraction by putting our whole number over .

$\frac{4}{1}\times\frac{1}{7}=\frac{4}{7}$

Multiply:

$0.58 \times 8.3$

Explanation

First, multiply the numbers, ignoring the decimal points:

$58 \times 83 = 4814$

Since the two factors in the original product have three digits to the right of the decimal points between them, position the decimal point in the product such that three digits are at its right. The result, therefore, is

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

$\frac{2}{3}$

$\frac{1}{3}$

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

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

$\frac{5}{3}=1\frac{2}{3}$

Explanation

$2\times\frac{1}{3}$ means the same thing as adding $\frac{1}{3}$ two times.

On our number line, we can make jumps of $\frac{1}{3}$

2 3 number line

Select the answer choice that is equal to $2\times\frac{3}{5}$

$6\times\frac{1}{5}$

$5\times\frac{1}{5}$

$4\times\frac{1}{5}$

$7\times\frac{1}{5}$

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

Explanation

When we multiply a whole number by a fraction, we multiply the whole number by the numerator, and the denominator stays the same.

$\frac{2}{1}\times\frac{3}{5}=\frac{6}{5}$

$\frac{6}{1}\times\frac{1}{5}=\frac{6}{5}$

$14\times\frac{1}{7}=$

$\frac{14}{7}=2$

$\frac{13}{7}=1\frac{6}{7}$

$\frac{12}{7}=1\frac{5}{7}$

$\frac{11}{7}=1\frac{4}{7}$

$\frac{10}{7}=1\frac{3}{7}$

Explanation

$14\times\frac{1}{7}$ means the same thing as adding $\frac{1}{7}$ fourteen times.

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

14 7 number line

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.