Solve Fraction Multiplication Word Problems - 4th Grade Math
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Which product is greater than $1$: $3 \times \frac{1}{2}$ or $1 \times \frac{3}{4}$?
Which product is greater than $1$: $3 \times \frac{1}{2}$ or $1 \times \frac{3}{4}$?
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$3 \times \frac{1}{2}$. $3 \times \frac{1}{2} = \frac{3}{2} > 1$ while $1 \times \frac{3}{4} = \frac{3}{4} < 1$.
$3 \times \frac{1}{2}$. $3 \times \frac{1}{2} = \frac{3}{2} > 1$ while $1 \times \frac{3}{4} = \frac{3}{4} < 1$.
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Find the missing number: $6 \times \Box = \frac{18}{5}$.
Find the missing number: $6 \times \Box = \frac{18}{5}$.
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$\frac{3}{5}$. Since $6 \times 3 = 18$, the missing fraction is $\frac{3}{5}$.
$\frac{3}{5}$. Since $6 \times 3 = 18$, the missing fraction is $\frac{3}{5}$.
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Find the missing number: $\Box \times \frac{2}{9} = \frac{8}{9}$.
Find the missing number: $\Box \times \frac{2}{9} = \frac{8}{9}$.
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$4$. Since $4 \times 2 = 8$, the missing number is $4$.
$4$. Since $4 \times 2 = 8$, the missing number is $4$.
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Identify the correct equation for “$7$ packs with $\frac{1}{5}$ pound each.”
Identify the correct equation for “$7$ packs with $\frac{1}{5}$ pound each.”
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$7 \times \frac{1}{5}$. Number of packs times weight per pack gives total weight.
$7 \times \frac{1}{5}$. Number of packs times weight per pack gives total weight.
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What is the total time if $8$ songs each last $\frac{3}{10}$ minute?
What is the total time if $8$ songs each last $\frac{3}{10}$ minute?
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$8 \times \frac{3}{10} = \frac{24}{10}$. Total time equals number of songs times duration of each.
$8 \times \frac{3}{10} = \frac{24}{10}$. Total time equals number of songs times duration of each.
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What is the total amount if $3$ servings are each $\frac{4}{7}$ cup?
What is the total amount if $3$ servings are each $\frac{4}{7}$ cup?
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$3 \times \frac{4}{7} = \frac{12}{7}$. Total amount equals number of servings times amount per serving.
$3 \times \frac{4}{7} = \frac{12}{7}$. Total amount equals number of servings times amount per serving.
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What is the total distance if you walk $5$ times $\frac{2}{9}$ mile?
What is the total distance if you walk $5$ times $\frac{2}{9}$ mile?
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$5 \times \frac{2}{9} = \frac{10}{9}$. Total distance equals number of trips times distance per trip.
$5 \times \frac{2}{9} = \frac{10}{9}$. Total distance equals number of trips times distance per trip.
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What is the total weight if $6$ boxes each weigh $\frac{1}{3}$ pound?
What is the total weight if $6$ boxes each weigh $\frac{1}{3}$ pound?
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$6 \times \frac{1}{3} = \frac{6}{3}$. Total weight equals number of boxes times weight of each.
$6 \times \frac{1}{3} = \frac{6}{3}$. Total weight equals number of boxes times weight of each.
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What is $6 \times \frac{3}{8}$?
What is $6 \times \frac{3}{8}$?
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$\frac{18}{8}$. Multiply the whole number by the numerator: $6 \times 3 = 18$.
$\frac{18}{8}$. Multiply the whole number by the numerator: $6 \times 3 = 18$.
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What does $n \times \frac{a}{b}$ mean in a word problem?
What does $n \times \frac{a}{b}$ mean in a word problem?
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$n$ groups of $\frac{a}{b}$. Represents repeated addition of the fraction $\frac{a}{b}$, taken $n$ times.
$n$ groups of $\frac{a}{b}$. Represents repeated addition of the fraction $\frac{a}{b}$, taken $n$ times.
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What equation represents “$5$ times as much as $\frac{2}{3}$ of a unit”?
What equation represents “$5$ times as much as $\frac{2}{3}$ of a unit”?
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$5 \times \frac{2}{3}$. Multiply the whole number by the fraction to find the total amount.
$5 \times \frac{2}{3}$. Multiply the whole number by the fraction to find the total amount.
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What is $10 \times \frac{3}{10}$?
What is $10 \times \frac{3}{10}$?
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$3$. The $10$s cancel: $\frac{10 \times 3}{10} = 3$.
$3$. The $10$s cancel: $\frac{10 \times 3}{10} = 3$.
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What is $6 \times \frac{5}{6}$?
What is $6 \times \frac{5}{6}$?
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$5$. The $6$s cancel: $\frac{6 \times 5}{6} = 5$.
$5$. The $6$s cancel: $\frac{6 \times 5}{6} = 5$.
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What is $5 \times \frac{4}{6}$ in simplest form?
What is $5 \times \frac{4}{6}$ in simplest form?
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$\frac{10}{3}$. First simplify $\frac{4}{6} = \frac{2}{3}$, then $5 \times \frac{2}{3} = \frac{10}{3}$.
$\frac{10}{3}$. First simplify $\frac{4}{6} = \frac{2}{3}$, then $5 \times \frac{2}{3} = \frac{10}{3}$.
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What is $\frac{7}{10}$ of $20$?
What is $\frac{7}{10}$ of $20$?
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$14$. Calculate: $\frac{7 \times 20}{10} = \frac{140}{10} = 14$.
$14$. Calculate: $\frac{7 \times 20}{10} = \frac{140}{10} = 14$.
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What is $\frac{5}{6}$ of $18$?
What is $\frac{5}{6}$ of $18$?
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$15$. Calculate: $\frac{5 \times 18}{6} = \frac{90}{6} = 15$.
$15$. Calculate: $\frac{5 \times 18}{6} = \frac{90}{6} = 15$.
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What is $\frac{3}{8}$ of $24$?
What is $\frac{3}{8}$ of $24$?
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$9$. Calculate: $\frac{3 \times 24}{8} = \frac{72}{8} = 9$.
$9$. Calculate: $\frac{3 \times 24}{8} = \frac{72}{8} = 9$.
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What is $\frac{2}{5}$ of $15$?
What is $\frac{2}{5}$ of $15$?
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$6$. Calculate: $\frac{2 \times 15}{5} = \frac{30}{5} = 6$.
$6$. Calculate: $\frac{2 \times 15}{5} = \frac{30}{5} = 6$.
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What is $4 \times \frac{9}{8}$ as a mixed number?
What is $4 \times \frac{9}{8}$ as a mixed number?
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$4\frac{1}{2}$. Calculate: $\frac{4 \times 9}{8} = \frac{36}{8} = 4\frac{4}{8} = 4\frac{1}{2}$.
$4\frac{1}{2}$. Calculate: $\frac{4 \times 9}{8} = \frac{36}{8} = 4\frac{4}{8} = 4\frac{1}{2}$.
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What is $4 \times \frac{3}{5}$?
What is $4 \times \frac{3}{5}$?
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$\frac{12}{5}$. Multiply: $\frac{4 \times 3}{5} = \frac{12}{5}$.
$\frac{12}{5}$. Multiply: $\frac{4 \times 3}{5} = \frac{12}{5}$.
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