Interpret Fraction Multiplication Products - 5th Grade Math
Card 1 of 20
What sequence of operations is equivalent to $
$
$\frac{a}{b}\times q$?
What sequence of operations is equivalent to $
$
$\frac{a}{b}\times q$?
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$a\times q\div b$. Multiply by the numerator first, then divide by the denominator.
$a\times q\div b$. Multiply by the numerator first, then divide by the denominator.
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Identify the correct interpretation: $
$
$\frac{3}{8}\times q$ is $3$ parts after splitting $q$ into how many equal parts?
Identify the correct interpretation: $
$
$\frac{3}{8}\times q$ is $3$ parts after splitting $q$ into how many equal parts?
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$8$ equal parts. The denominator tells us how many equal parts to create.
$8$ equal parts. The denominator tells us how many equal parts to create.
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What is $
$
$\frac{a}{b}\times q$ when $a=b$ (for example, $\frac{5}{5}\times q$)?
What is $
$
$\frac{a}{b}\times q$ when $a=b$ (for example, $\frac{5}{5}\times q$)?
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$q$. When numerator equals denominator, the fraction equals $1$, so $1 \times q = q$.
$q$. When numerator equals denominator, the fraction equals $1$, so $1 \times q = q$.
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What does $
$
$\frac{a}{b}\times q$ mean when $q$ is split into $b$ equal parts?
What does $
$
$\frac{a}{b}\times q$ mean when $q$ is split into $b$ equal parts?
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$a$ parts of $q$ after partitioning $q$ into $b$ equal parts. The fraction tells us how many parts to take after dividing $q$ into $b$ equal pieces.
$a$ parts of $q$ after partitioning $q$ into $b$ equal parts. The fraction tells us how many parts to take after dividing $q$ into $b$ equal pieces.
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What is $\frac{3}{5} \times 25$ using $3 \times 25 \div 5$?
What is $\frac{3}{5} \times 25$ using $3 \times 25 \div 5$?
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$15$. Calculate: $3 \times 25 = 75$, then $75 \div 5 = 15$.
$15$. Calculate: $3 \times 25 = 75$, then $75 \div 5 = 15$.
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What is $\frac{4}{7} \times 21$ using $4 \times 21 \div 7$?
What is $\frac{4}{7} \times 21$ using $4 \times 21 \div 7$?
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$12$. Calculate: $4 \times 21 = 84$, then $84 \div 7 = 12$.
$12$. Calculate: $4 \times 21 = 84$, then $84 \div 7 = 12$.
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What is the value of $\frac{3}{4}\times 20$ using $3\times 20\div 4$?
What is the value of $\frac{3}{4}\times 20$ using $3\times 20\div 4$?
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$15$. Calculate: $3 \times 20 = 60$, then $60 \div 4 = 15$.
$15$. Calculate: $3 \times 20 = 60$, then $60 \div 4 = 15$.
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What is the missing denominator $b$ if $
$
$\frac{3}{b}\times 24=18$?
What is the missing denominator $b$ if $
$
$\frac{3}{b}\times 24=18$?
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$4$. Since $\frac{3}{b} \times 24 = 18$, we need $72 \div b = 18$, so $b = 4$.
$4$. Since $\frac{3}{b} \times 24 = 18$, we need $72 \div b = 18$, so $b = 4$.
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What is the missing numerator $a$ if $
$
$\frac{a}{6}\times 30=20$?
What is the missing numerator $a$ if $
$
$\frac{a}{6}\times 30=20$?
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$4$. Since $\frac{a}{6} \times 30 = 20$, we need $a \times 5 = 20$, so $a = 4$.
$4$. Since $\frac{a}{6} \times 30 = 20$, we need $a \times 5 = 20$, so $a = 4$.
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What is the missing value $q$ if $
$
$\frac{3}{5}\times q=12$?
What is the missing value $q$ if $
$
$\frac{3}{5}\times q=12$?
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$20$. If three-fifths of $q$ is $12$, then $q = 12 \div 3 \times 5 = 20$.
$20$. If three-fifths of $q$ is $12$, then $q = 12 \div 3 \times 5 = 20$.
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What is the missing value $q$ if $
$
$\frac{1}{4}\times q=6$?
What is the missing value $q$ if $
$
$\frac{1}{4}\times q=6$?
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$24$. If one-fourth of $q$ is $6$, then $q = 6 \times 4 = 24$.
$24$. If one-fourth of $q$ is $6$, then $q = 6 \times 4 = 24$.
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What is $
$
$\frac{2}{3}\times 18$ interpreted as $2$ parts when $18$ is split into $3$ equal parts?
What is $
$
$\frac{2}{3}\times 18$ interpreted as $2$ parts when $18$ is split into $3$ equal parts?
Tap to reveal answer
$12$. Each part is $18 \div 3 = 6$, so $2$ parts equals $2 \times 6 = 12$.
$12$. Each part is $18 \div 3 = 6$, so $2$ parts equals $2 \times 6 = 12$.
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What is $
$
$\frac{7}{9}\times 27$ using partitioning into $9$ equal parts?
What is $
$
$\frac{7}{9}\times 27$ using partitioning into $9$ equal parts?
Tap to reveal answer
$21$. Each part is $27 \div 9 = 3$, so $7$ parts equals $7 \times 3 = 21$.
$21$. Each part is $27 \div 9 = 3$, so $7$ parts equals $7 \times 3 = 21$.
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What is $
$
$\frac{3}{10}\times 50$ by finding one-tenth first?
What is $
$
$\frac{3}{10}\times 50$ by finding one-tenth first?
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$15$. One-tenth is $50 \div 10 = 5$, so $3$ tenths equals $3 \times 5 = 15$.
$15$. One-tenth is $50 \div 10 = 5$, so $3$ tenths equals $3 \times 5 = 15$.
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What is $
$
$\frac{5}{8}\times 32$ using the idea of $5$ parts out of $8$ equal parts?
What is $
$
$\frac{5}{8}\times 32$ using the idea of $5$ parts out of $8$ equal parts?
Tap to reveal answer
$20$. Each part is $32 \div 8 = 4$, so $5$ parts equals $5 \times 4 = 20$.
$20$. Each part is $32 \div 8 = 4$, so $5$ parts equals $5 \times 4 = 20$.
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What is $
$
$\frac{1}{6}\times 48$ interpreted as one part when $48$ is split into $6$ equal parts?
What is $
$
$\frac{1}{6}\times 48$ interpreted as one part when $48$ is split into $6$ equal parts?
Tap to reveal answer
$8$. One part of $48$ divided into $6$ equal parts is $48 \div 6 = 8$.
$8$. One part of $48$ divided into $6$ equal parts is $48 \div 6 = 8$.
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What is the value of $
$
$\frac{2}{5}\times 30$ by partitioning $30$ into $5$ equal parts?
What is the value of $
$
$\frac{2}{5}\times 30$ by partitioning $30$ into $5$ equal parts?
Tap to reveal answer
$12$. Each part is $30 \div 5 = 6$, so $2$ parts equals $2 \times 6 = 12$.
$12$. Each part is $30 \div 5 = 6$, so $2$ parts equals $2 \times 6 = 12$.
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What is $\frac{9}{10} \times 40$ by taking $9$ of the $10$ equal parts of $40$?
What is $\frac{9}{10} \times 40$ by taking $9$ of the $10$ equal parts of $40$?
Tap to reveal answer
$36$. Each part is $40 \div 10 = 4$, so $9$ parts equals $9 \times 4 = 36$.
$36$. Each part is $40 \div 10 = 4$, so $9$ parts equals $9 \times 4 = 36$.
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What is $\frac{0}{b} \times q$ for any nonzero $b$?
What is $\frac{0}{b} \times q$ for any nonzero $b$?
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$0$. Zero parts of any quantity always equals zero.
$0$. Zero parts of any quantity always equals zero.
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What is $\frac{4}{3}\times 9$ using $4\times 9\div 3$?
What is $\frac{4}{3}\times 9$ using $4\times 9\div 3$?
Tap to reveal answer
$12$. $4 \times 9 = 36$, then $36 \div 3 = 12$.
$12$. $4 \times 9 = 36$, then $36 \div 3 = 12$.
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