Number and Operations—Fractions: Solving Real-World Problems with Fraction Multiplication (CCSS.5.NF.7)
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Common Core 5th Grade Math › Number and Operations—Fractions: Solving Real-World Problems with Fraction Multiplication (CCSS.5.NF.7)
There is $1/3$ of a pizza left. It needs to be shared equally among 4 kids. How much of the whole pizza does each kid get?
$1/12$
$1/3$
$4/3$
$1/4$
Explanation
This is $1/3 \div 4$. Picture a pizza cut into 3 equal slices; take one slice (that's $1/3$). Now split that one slice into 4 equal smaller pieces. Each kid gets one of those pieces, which is $1/12$ of the whole. Check: $1/12 \times 4 = 1/3$, so $1/3 \div 4 = 1/12$.
A jug has 4 liters of lemonade. Each cup holds $1/5$ liter. How many full cups can you pour?
$1/20$
$5$
$4/5$
$20$
Explanation
This is $4 \div 1/5$. How many fifth-liters are in 4 liters? Each liter has 5 fifths, so $4$ liters have $4 \times 5 = 20$ fifths. Check: $20 \times 1/5 = 4$, so $4 \div 1/5 = 20$.
You have $1/2$ of a chocolate bar. You and 3 friends (4 people total) share it equally. How much of the whole chocolate bar does each person get?
$1/4$
$1/8$
$2$
$1/12$
Explanation
Think of a fraction bar for 1 whole chocolate bar. Shade $1/2$ of it. Now split just the shaded half into 4 equal parts (for 4 people). Each small piece is $1/8$ of the whole bar. Check with multiplication: $1/8 \times 4 = 1/2$, so $1/2 \div 4 = 1/8$.
A painter has 3 gallons of paint. She pours it into mini-cans that each hold $1/8$ gallon. How many mini-cans will be filled?
$3/8$
$8$
$24$
$1/24$
Explanation
This is $3 \div 1/8$. Each gallon has 8 eighths, so 3 gallons have $3 \times 8 = 24$ eighths. That means 24 mini-cans. Check: $24 \times 1/8 = 3$, so $3 \div 1/8 = 24$.