5th Grade Math - Interpret Division of a Whole Number by a Unit Fraction: CCSS.Math.Content.5.NF.B.7b

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

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

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

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

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

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

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

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

Kaitlyn has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Explanation

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $6\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{6}{1}\times\frac{4}{1}=\frac{24}{1}=24$

Armen 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 $6\div\frac{1}{3}$ we multiply by the reciprocal

$\frac{6}{1}\times\frac{3}{1}=\frac{18}{1}=18$

Sarah has gallons of milk. Each glass holds $\frac{1}{4}$ of a gallon. How many glasses can she fill?

Explanation

Think: How many $\frac{1}{4}$ s are in wholes?

To solve $8\div\frac{1}{4}$ we multiply by the reciprocal

$\frac{8}{1}\times\frac{4}{1}=\frac{32}{1}=32$

Kate 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 $11\div\frac{1}{2}$ we multiply by the reciprocal

$\frac{11}{1}\times\frac{2}{1}=\frac{22}{1}=22$

Brian 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 $3\div\frac{1}{6}$ we multiply by the reciprocal

$\frac{3}{1}\times\frac{6}{1}=\frac{18}{1}=18$

Interpret Division of a Whole Number by a Unit Fraction: CCSS.Math.Content.5.NF.B.7b

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