Generate Equivalent Fractions Using Multiplication - 4th Grade Math
Card 1 of 20
Which number must you multiply by to change $\frac{2}{9}$ into $\frac{8}{36}$?
Which number must you multiply by to change $\frac{2}{9}$ into $\frac{8}{36}$?
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$4$. Both numerator and denominator are multiplied by $4$: $2 \times 4 = 8$, $9 \times 4 = 36$.
$4$. Both numerator and denominator are multiplied by $4$: $2 \times 4 = 8$, $9 \times 4 = 36$.
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Identify the missing denominator: $\frac{4}{7}=\frac{12}{?}$.
Identify the missing denominator: $\frac{4}{7}=\frac{12}{?}$.
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$21$. Multiply both parts by $3$: $4 \times 3 = 12$ and $7 \times 3 = 21$.
$21$. Multiply both parts by $3$: $4 \times 3 = 12$ and $7 \times 3 = 21$.
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Identify the missing numerator: $\frac{3}{5}=\frac{?}{10}$.
Identify the missing numerator: $\frac{3}{5}=\frac{?}{10}$.
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$6$. Multiply both parts by $2$: $3 \times 2 = 6$ and $5 \times 2 = 10$.
$6$. Multiply both parts by $2$: $3 \times 2 = 6$ and $5 \times 2 = 10$.
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Which fraction is equivalent to $\frac{6}{9}$: $\frac{12}{18}$ or $\frac{12}{15}$?
Which fraction is equivalent to $\frac{6}{9}$: $\frac{12}{18}$ or $\frac{12}{15}$?
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$\frac{12}{18}$. $\frac{6}{9} \times \frac{2}{2} = \frac{12}{18}$; both parts multiplied by $2$.
$\frac{12}{18}$. $\frac{6}{9} \times \frac{2}{2} = \frac{12}{18}$; both parts multiplied by $2$.
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What is an equivalent fraction to $\frac{3}{10}$ with denominator $50$?
What is an equivalent fraction to $\frac{3}{10}$ with denominator $50$?
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$\frac{15}{50}$. Multiply both parts by $5$: $3 \times 5 = 15$ and $10 \times 5 = 50$.
$\frac{15}{50}$. Multiply both parts by $5$: $3 \times 5 = 15$ and $10 \times 5 = 50$.
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What does it mean if two fractions are equivalent?
What does it mean if two fractions are equivalent?
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They represent the same value or same size of the whole. Equivalent fractions are different ways to express the same portion.
They represent the same value or same size of the whole. Equivalent fractions are different ways to express the same portion.
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Find and correct the error: $\frac{2}{5}=\frac{4}{15}$.
Find and correct the error: $\frac{2}{5}=\frac{4}{15}$.
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Correct: $\frac{2}{5}=\frac{6}{15}$. Should multiply both parts by $3$: $2 \times 3 = 6$, not $4$.
Correct: $\frac{2}{5}=\frac{6}{15}$. Should multiply both parts by $3$: $2 \times 3 = 6$, not $4$.
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Identify the equivalent fraction to $\frac{5}{12}$ with numerator $10$.
Identify the equivalent fraction to $\frac{5}{12}$ with numerator $10$.
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$\frac{10}{24}$. Multiply both parts by $2$: $5 \times 2 = 10$ and $12 \times 2 = 24$.
$\frac{10}{24}$. Multiply both parts by $2$: $5 \times 2 = 10$ and $12 \times 2 = 24$.
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What is the rule for creating an equivalent fraction by multiplying by $n$?
What is the rule for creating an equivalent fraction by multiplying by $n$?
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$\frac{a}{b}=\frac{n\times a}{n\times b}$ for $n\neq 0$. Multiplying both numerator and denominator by the same number preserves the value.
$\frac{a}{b}=\frac{n\times a}{n\times b}$ for $n\neq 0$. Multiplying both numerator and denominator by the same number preserves the value.
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Identify the missing number: $\frac{6}{11}=\frac{?}{33}$.
Identify the missing number: $\frac{6}{11}=\frac{?}{33}$.
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$18$. Multiply both parts by $3$: $6 \times 3 = 18$ and $11 \times 3 = 33$.
$18$. Multiply both parts by $3$: $6 \times 3 = 18$ and $11 \times 3 = 33$.
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Find the equivalent fraction to $\frac{4}{9}$ by multiplying by $2$.
Find the equivalent fraction to $\frac{4}{9}$ by multiplying by $2$.
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$\frac{8}{18}$. Multiply numerator and denominator by $2$: $4 \times 2 = 8$, $9 \times 2 = 18$.
$\frac{8}{18}$. Multiply numerator and denominator by $2$: $4 \times 2 = 8$, $9 \times 2 = 18$.
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Find the equivalent fraction to $\frac{1}{5}$ by multiplying by $3$.
Find the equivalent fraction to $\frac{1}{5}$ by multiplying by $3$.
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$\frac{3}{15}$. Multiply numerator and denominator by $3$: $1 \times 3 = 3$, $5 \times 3 = 15$.
$\frac{3}{15}$. Multiply numerator and denominator by $3$: $1 \times 3 = 3$, $5 \times 3 = 15$.
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Which fraction is equivalent to $\frac{2}{3}$: $\frac{4}{6}$ or $\frac{4}{9}$?
Which fraction is equivalent to $\frac{2}{3}$: $\frac{4}{6}$ or $\frac{4}{9}$?
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$\frac{4}{6}$. $\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}$; both parts multiplied by $2$.
$\frac{4}{6}$. $\frac{2}{3} \times \frac{2}{2} = \frac{4}{6}$; both parts multiplied by $2$.
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Which fraction is equivalent to $\frac{3}{4}$: $\frac{6}{8}$ or $\frac{6}{10}$?
Which fraction is equivalent to $\frac{3}{4}$: $\frac{6}{8}$ or $\frac{6}{10}$?
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$\frac{6}{8}$. $\frac{3}{4} \times \frac{2}{2} = \frac{6}{8}$; both parts multiplied by $2$.
$\frac{6}{8}$. $\frac{3}{4} \times \frac{2}{2} = \frac{6}{8}$; both parts multiplied by $2$.
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What is an equivalent fraction to $\frac{7}{8}$ with numerator $21$?
What is an equivalent fraction to $\frac{7}{8}$ with numerator $21$?
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$\frac{21}{24}$. Multiply both parts by $3$: $7 \times 3 = 21$ and $8 \times 3 = 24$.
$\frac{21}{24}$. Multiply both parts by $3$: $7 \times 3 = 21$ and $8 \times 3 = 24$.
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What is an equivalent fraction to $\frac{5}{6}$ with denominator $18$?
What is an equivalent fraction to $\frac{5}{6}$ with denominator $18$?
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$\frac{15}{18}$. Multiply both parts by $3$: $5 \times 3 = 15$ and $6 \times 3 = 18$.
$\frac{15}{18}$. Multiply both parts by $3$: $5 \times 3 = 15$ and $6 \times 3 = 18$.
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Identify whether the statement is true: $\frac{3}{4}=\frac{6}{8}$.
Identify whether the statement is true: $\frac{3}{4}=\frac{6}{8}$.
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True. $\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$ ✓
True. $\frac{3}{4} = \frac{3 \times 2}{4 \times 2} = \frac{6}{8}$ ✓
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Identify whether the statement is true: $\frac{2}{3}=\frac{4}{5}$.
Identify whether the statement is true: $\frac{2}{3}=\frac{4}{5}$.
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False. $\frac{2}{3} = \frac{4}{6}$, not $\frac{4}{5}$ (different ratios).
False. $\frac{2}{3} = \frac{4}{6}$, not $\frac{4}{5}$ (different ratios).
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In an area model, if each original part is split into $4$ equal parts, what is $n$?
In an area model, if each original part is split into $4$ equal parts, what is $n$?
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$n=4$. The scale factor $n$ equals the number of subdivisions per original part.
$n=4$. The scale factor $n$ equals the number of subdivisions per original part.
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What equivalent fraction is made by multiplying $\frac{3}{10}$ by $\frac{5}{5}$?
What equivalent fraction is made by multiplying $\frac{3}{10}$ by $\frac{5}{5}$?
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$\frac{15}{50}$. Multiplying by $\frac{5}{5} = 1$ gives $\frac{3 \times 5}{10 \times 5} = \frac{15}{50}$.
$\frac{15}{50}$. Multiplying by $\frac{5}{5} = 1$ gives $\frac{3 \times 5}{10 \times 5} = \frac{15}{50}$.
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