SSAT Middle Level Quantitative - How to divide fractions

Erica has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

$\frac{1}{10}lb$

$\frac{5}{2}lb$

$\frac{1}{5}lb$

$\frac{4}{3}lb$

$\frac{1}{7}lb$

Explanation

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div5$ we multiply by the reciprocal.

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

1 10

Christine has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

$\frac{1}{14}lb$

$\frac{14}{2}lb$

$\frac{8}{7}lb$

$\frac{2}{7}lb$

$\frac{1}{4}lb$

Explanation

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div7$ we multiply by the reciprocal.

$\frac{1}{2}\times\frac{1}{7}=\frac{1}{14}$

1 14

Melissa has $\frac{1}{2}lb$ of gummy candies that she wants to divide evenly into bags. How much will each bag of gummy candies weigh?

$\frac{1}{6}lb$

$\frac{1}{3}lb$

$\frac{1}{12}lb$

$\frac{3}{2}lb$

$\frac{1}{5}lb$

Explanation

We are splitting $\frac{1}{2}$ into equal groups, so we are dividing $\frac{1}{2}$ by .

To solve $\frac{1}{2}\div3$ we multiply by the reciprocal.

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

1 6

David has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

$\frac{1}{15}lb$

$\frac{5}{3}lb$

$\frac{8}{3}lb$

$\frac{3}{8}lb$

$\frac{1}{5}lb$

Explanation

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div5$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{5}=\frac{1}{15}$

1 15

Andrew has gallons of soda. Each glass holds $\frac{1}{3}$ of a gallon. How many glasses can he fill?

Explanation

Think: How many $\frac{1}{3}$ s are in wholes?

To solve $13\div\frac{1}{3}$ we multiply by the reciprocal

$\frac{13}{1}\times\frac{3}{1}=\frac{39}{1}=39$

Tom has gallons of soda. Each glass holds $\frac{1}{6}$ of a gallon. How many glasses can he fill?

Explanation

Think: How many $\frac{1}{6}$ s are in wholes?

To solve $8\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{8}{1}\times\frac{6}{1}=\frac{48}{1}=48$

Andrew has gallons of soda. Each glass holds $\frac{1}{3}$ of a gallon. How many glasses can he fill?

Explanation

Think: How many $\frac{1}{3}$ s are in wholes?

To solve $12\div\frac{1}{3}$ we multiply by the reciprocal

$\frac{12}{1}\times\frac{3}{1}=\frac{36}{1}=36$

Aubtin has gallons of soda. Each glass holds $\frac{1}{3}$ of a gallon. How many glasses can he fill?

Explanation

Think: How many $\frac{1}{3}$ s are in wholes?

To solve $2\div\frac{1}{3}$ we multiply by the reciprocal

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

Tim has $\frac{1}{3}lb$ of peanuts that he wants to divide evenly into bags. How much will each bag of peanuts weigh?

$\frac{1}{21}lb$

$\frac{7}{2}lb$

$\frac{7}{3}lb$

$\frac{1}{28}lb$

$\frac{1}{7}lb$

Explanation

We are splitting $\frac{1}{3}$ into equal groups, so we are dividing $\frac{1}{3}$ by .

To solve $\frac{1}{3}\div7$ we multiply by the reciprocal.

$\frac{1}{3}\times\frac{1}{7}=\frac{1}{21}$

1 21

Kailynn has gallons of water. Each water bottle holds $\frac{1}{2}$ of a gallon. How many water bottles can she fill?

Explanation

Think: How many $\frac{1}{2}$ s are in wholes?

To solve $2\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{2}{1}\times\frac{2}{1}=\frac{4}{1}=4$

How to divide fractions

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