Multiply Fractions by Whole Numbers - 4th Grade Math
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What is $4 \times \frac{3}{8}$ as an improper fraction?
What is $4 \times \frac{3}{8}$ as an improper fraction?
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$\frac{12}{8}$. Apply the formula: $4 \times \frac{3}{8} = \frac{4 \times 3}{8} = \frac{12}{8}$.
$\frac{12}{8}$. Apply the formula: $4 \times \frac{3}{8} = \frac{4 \times 3}{8} = \frac{12}{8}$.
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What is $4 \times \frac{3}{8}$ written as a multiple of $\frac{1}{8}$?
What is $4 \times \frac{3}{8}$ written as a multiple of $\frac{1}{8}$?
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$12 \times \frac{1}{8}$. Since $\frac{3}{8} = 3 \times \frac{1}{8}$, we get $4 \times 3 \times \frac{1}{8} = 12 \times \frac{1}{8}$.
$12 \times \frac{1}{8}$. Since $\frac{3}{8} = 3 \times \frac{1}{8}$, we get $4 \times 3 \times \frac{1}{8} = 12 \times \frac{1}{8}$.
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What is $5 \times \frac{1}{6}$ as a fraction?
What is $5 \times \frac{1}{6}$ as a fraction?
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$\frac{5}{6}$. Apply the formula: $5 \times \frac{1}{6} = \frac{5 \times 1}{6} = \frac{5}{6}$.
$\frac{5}{6}$. Apply the formula: $5 \times \frac{1}{6} = \frac{5 \times 1}{6} = \frac{5}{6}$.
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What is $7 \times \frac{2}{3}$ as an improper fraction?
What is $7 \times \frac{2}{3}$ as an improper fraction?
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$\frac{14}{3}$. Apply the formula: $7 \times \frac{2}{3} = \frac{7 \times 2}{3} = \frac{14}{3}$.
$\frac{14}{3}$. Apply the formula: $7 \times \frac{2}{3} = \frac{7 \times 2}{3} = \frac{14}{3}$.
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What is $6 \times \frac{4}{9}$ written as a multiple of $\frac{1}{9}$?
What is $6 \times \frac{4}{9}$ written as a multiple of $\frac{1}{9}$?
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$24 \times \frac{1}{9}$. Since $\frac{4}{9} = 4 \times \frac{1}{9}$, we get $6 \times 4 \times \frac{1}{9} = 24 \times \frac{1}{9}$.
$24 \times \frac{1}{9}$. Since $\frac{4}{9} = 4 \times \frac{1}{9}$, we get $6 \times 4 \times \frac{1}{9} = 24 \times \frac{1}{9}$.
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What is $3 \times \frac{2}{5}$ written as a multiple of $\frac{1}{5}$?
What is $3 \times \frac{2}{5}$ written as a multiple of $\frac{1}{5}$?
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$6 \times \frac{1}{5}$. Since $\frac{2}{5} = 2 \times \frac{1}{5}$, we get $3 \times 2 \times \frac{1}{5} = 6 \times \frac{1}{5}$.
$6 \times \frac{1}{5}$. Since $\frac{2}{5} = 2 \times \frac{1}{5}$, we get $3 \times 2 \times \frac{1}{5} = 6 \times \frac{1}{5}$.
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What is $3 \times \frac{2}{5}$ as an improper fraction?
What is $3 \times \frac{2}{5}$ as an improper fraction?
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$\frac{6}{5}$. Apply the formula: $3 \times \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5}$.
$\frac{6}{5}$. Apply the formula: $3 \times \frac{2}{5} = \frac{3 \times 2}{5} = \frac{6}{5}$.
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What is $2 \times \frac{7}{4}$ as an improper fraction?
What is $2 \times \frac{7}{4}$ as an improper fraction?
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$\frac{14}{4}$. Apply the formula: $2 \times \frac{7}{4} = \frac{2 \times 7}{4} = \frac{14}{4}$.
$\frac{14}{4}$. Apply the formula: $2 \times \frac{7}{4} = \frac{2 \times 7}{4} = \frac{14}{4}$.
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Identify the missing number: $\square \times \frac{5}{6} = \frac{20}{6}$.
Identify the missing number: $\square \times \frac{5}{6} = \frac{20}{6}$.
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$4$. Since $\frac{20}{6} = \frac{4 \times 5}{6}$, the whole number is $4$.
$4$. Since $\frac{20}{6} = \frac{4 \times 5}{6}$, the whole number is $4$.
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What is $6 \times \frac{4}{9}$ as an improper fraction?
What is $6 \times \frac{4}{9}$ as an improper fraction?
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$\frac{24}{9}$. Apply the formula: $6 \times \frac{4}{9} = \frac{6 \times 4}{9} = \frac{24}{9}$.
$\frac{24}{9}$. Apply the formula: $6 \times \frac{4}{9} = \frac{6 \times 4}{9} = \frac{24}{9}$.
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Identify the missing number: $8 \times \frac{3}{5} = \frac{\square}{5}$.
Identify the missing number: $8 \times \frac{3}{5} = \frac{\square}{5}$.
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$24$. Multiply: $8 \times 3 = 24$, so the numerator is $24$.
$24$. Multiply: $8 \times 3 = 24$, so the numerator is $24$.
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Identify the missing number: $3 \times \frac{\square}{10} = \frac{21}{10}$.
Identify the missing number: $3 \times \frac{\square}{10} = \frac{21}{10}$.
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$7$. Since $\frac{21}{10} = \frac{3 \times 7}{10}$, the missing numerator is $7$.
$7$. Since $\frac{21}{10} = \frac{3 \times 7}{10}$, the missing numerator is $7$.
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State the formula for multiplying a whole number $n$ by a fraction $\frac{a}{b}$.
State the formula for multiplying a whole number $n$ by a fraction $\frac{a}{b}$.
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$n \times \frac{a}{b} = \frac{n \times a}{b}$. Multiply the whole number by the numerator, keeping the same denominator.
$n \times \frac{a}{b} = \frac{n \times a}{b}$. Multiply the whole number by the numerator, keeping the same denominator.
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What is $10 \times \frac{3}{10}$ as a fraction?
What is $10 \times \frac{3}{10}$ as a fraction?
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$\frac{30}{10}$. Apply the formula: $10 \times \frac{3}{10} = \frac{10 \times 3}{10} = \frac{30}{10}$.
$\frac{30}{10}$. Apply the formula: $10 \times \frac{3}{10} = \frac{10 \times 3}{10} = \frac{30}{10}$.
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Which part changes in $n \times \frac{a}{b}$: numerator, denominator, or both?
Which part changes in $n \times \frac{a}{b}$: numerator, denominator, or both?
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The numerator only. When multiplying by a whole number, only multiply the numerator.
The numerator only. When multiplying by a whole number, only multiply the numerator.
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Find and correct the error: $4 \times \frac{2}{7} = \frac{8}{28}$.
Find and correct the error: $4 \times \frac{2}{7} = \frac{8}{28}$.
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Correct: $4 \times \frac{2}{7} = \frac{8}{7}$. Error: multiplied both parts; only multiply the numerator.
Correct: $4 \times \frac{2}{7} = \frac{8}{7}$. Error: multiplied both parts; only multiply the numerator.
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Find and correct the error: $6 \times \frac{1}{9} = \frac{1}{54}$.
Find and correct the error: $6 \times \frac{1}{9} = \frac{1}{54}$.
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Correct: $6 \times \frac{1}{9} = \frac{6}{9}$. Error: inverted the multiplication; multiply numerator by whole number.
Correct: $6 \times \frac{1}{9} = \frac{6}{9}$. Error: inverted the multiplication; multiply numerator by whole number.
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Rewrite $6 \times \frac{2}{3}$ as a multiple of $\frac{1}{3}$.
Rewrite $6 \times \frac{2}{3}$ as a multiple of $\frac{1}{3}$.
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$12 \times \frac{1}{3}$. Since $6 \times 2 = 12$, this equals $12$ copies of $\frac{1}{3}$.
$12 \times \frac{1}{3}$. Since $6 \times 2 = 12$, this equals $12$ copies of $\frac{1}{3}$.
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What is $4 \times \frac{3}{8}$?
What is $4 \times \frac{3}{8}$?
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$\frac{12}{8}$. Multiply: $4 \times 3 = 12$ in the numerator, keep denominator $8$.
$\frac{12}{8}$. Multiply: $4 \times 3 = 12$ in the numerator, keep denominator $8$.
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Rewrite $3 \times \frac{2}{5}$ as a multiple of $\frac{1}{5}$.
Rewrite $3 \times \frac{2}{5}$ as a multiple of $\frac{1}{5}$.
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$6 \times \frac{1}{5}$. Since $3 \times 2 = 6$, this equals $6$ copies of $\frac{1}{5}$.
$6 \times \frac{1}{5}$. Since $3 \times 2 = 6$, this equals $6$ copies of $\frac{1}{5}$.
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