Decompose Fractions Multiple Ways - 4th Grade Math
Card 1 of 20
What equation shows decomposing $\frac{10}{12}$ into three fractions with denominator $12$: $\frac{4}{12}$, $\frac{3}{12}$, and what?
What equation shows decomposing $\frac{10}{12}$ into three fractions with denominator $12$: $\frac{4}{12}$, $\frac{3}{12}$, and what?
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$\frac{10}{12}=\frac{4}{12}+\frac{3}{12}+\frac{3}{12}$. The numerators $4+3+3=10$.
$\frac{10}{12}=\frac{4}{12}+\frac{3}{12}+\frac{3}{12}$. The numerators $4+3+3=10$.
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What is the missing numerator in $\frac{9}{12}=\frac{5}{12}+\frac{\square}{12}$?
What is the missing numerator in $\frac{9}{12}=\frac{5}{12}+\frac{\square}{12}$?
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$4$. Since $9-5=4$, the missing numerator is $4$.
$4$. Since $9-5=4$, the missing numerator is $4$.
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What is the missing numerator in $\frac{11}{15}=\frac{\square}{15}+\frac{6}{15}$?
What is the missing numerator in $\frac{11}{15}=\frac{\square}{15}+\frac{6}{15}$?
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$5$. Since $11-6=5$, the missing numerator is $5$.
$5$. Since $11-6=5$, the missing numerator is $5$.
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What is the missing numerator in $\frac{8}{9}=\frac{3}{9}+\frac{\square}{9}$?
What is the missing numerator in $\frac{8}{9}=\frac{3}{9}+\frac{\square}{9}$?
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$5$. Since $8-3=5$, the missing numerator is $5$.
$5$. Since $8-3=5$, the missing numerator is $5$.
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Which equation correctly decomposes $\frac{6}{11}$: A) $\frac{1}{11}+\frac{5}{11}$ or B) $\frac{1}{11}+\frac{6}{11}$?
Which equation correctly decomposes $\frac{6}{11}$: A) $\frac{1}{11}+\frac{5}{11}$ or B) $\frac{1}{11}+\frac{6}{11}$?
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A) $\frac{1}{11}+\frac{5}{11}$. Option A sums to $\frac{6}{11}$; B exceeds it.
A) $\frac{1}{11}+\frac{5}{11}$. Option A sums to $\frac{6}{11}$; B exceeds it.
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Which equation correctly decomposes $\frac{5}{8}$: A) $\frac{2}{8}+\frac{3}{8}$ or B) $\frac{2}{8}+\frac{3}{7}$?
Which equation correctly decomposes $\frac{5}{8}$: A) $\frac{2}{8}+\frac{3}{8}$ or B) $\frac{2}{8}+\frac{3}{7}$?
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A) $\frac{2}{8}+\frac{3}{8}$. Option A keeps the same denominator; B changes it.
A) $\frac{2}{8}+\frac{3}{8}$. Option A keeps the same denominator; B changes it.
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What does it mean to decompose a fraction like $\frac{a}{b}$ into a sum with the same denominator?
What does it mean to decompose a fraction like $\frac{a}{b}$ into a sum with the same denominator?
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Write $\frac{a}{b}$ as a sum of fractions with denominator $b$. Break the numerator into smaller parts, keeping the same denominator.
Write $\frac{a}{b}$ as a sum of fractions with denominator $b$. Break the numerator into smaller parts, keeping the same denominator.
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What equation shows decomposing $\frac{7}{10}$ into $\frac{3}{10}$ plus another fraction with denominator $10$?
What equation shows decomposing $\frac{7}{10}$ into $\frac{3}{10}$ plus another fraction with denominator $10$?
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$\frac{7}{10}=\frac{3}{10}+\frac{4}{10}$. The numerators $3$ and $4$ sum to $7$.
$\frac{7}{10}=\frac{3}{10}+\frac{4}{10}$. The numerators $3$ and $4$ sum to $7$.
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What equation shows decomposing $\frac{7}{10}$ into $\frac{1}{10}$ plus another fraction with denominator $10$?
What equation shows decomposing $\frac{7}{10}$ into $\frac{1}{10}$ plus another fraction with denominator $10$?
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$\frac{7}{10}=\frac{1}{10}+\frac{6}{10}$. The numerators $1$ and $6$ sum to $7$.
$\frac{7}{10}=\frac{1}{10}+\frac{6}{10}$. The numerators $1$ and $6$ sum to $7$.
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What equation shows decomposing $\frac{7}{10}$ into three fractions with denominator $10$: $\frac{2}{10}$, $\frac{2}{10}$, and what?
What equation shows decomposing $\frac{7}{10}$ into three fractions with denominator $10$: $\frac{2}{10}$, $\frac{2}{10}$, and what?
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$\frac{7}{10}=\frac{2}{10}+\frac{2}{10}+\frac{3}{10}$. The numerators $2+2+3=7$.
$\frac{7}{10}=\frac{2}{10}+\frac{2}{10}+\frac{3}{10}$. The numerators $2+2+3=7$.
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What equation shows decomposing $\frac{13}{16}$ into $\frac{8}{16}$ plus another fraction with denominator $16$?
What equation shows decomposing $\frac{13}{16}$ into $\frac{8}{16}$ plus another fraction with denominator $16$?
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$\frac{13}{16}=\frac{8}{16}+\frac{5}{16}$. The numerators $8$ and $5$ sum to $13$.
$\frac{13}{16}=\frac{8}{16}+\frac{5}{16}$. The numerators $8$ and $5$ sum to $13$.
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What equation shows decomposing $\frac{13}{16}$ into $\frac{1}{16}$ plus another fraction with denominator $16$?
What equation shows decomposing $\frac{13}{16}$ into $\frac{1}{16}$ plus another fraction with denominator $16$?
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$\frac{13}{16}=\frac{1}{16}+\frac{12}{16}$. The numerators $1$ and $12$ sum to $13$.
$\frac{13}{16}=\frac{1}{16}+\frac{12}{16}$. The numerators $1$ and $12$ sum to $13$.
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What is the missing numerator in $\frac{14}{20}=\frac{9}{20}+\frac{\square}{20}$?
What is the missing numerator in $\frac{14}{20}=\frac{9}{20}+\frac{\square}{20}$?
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$5$. Since $14-9=5$, the missing numerator is $5$.
$5$. Since $14-9=5$, the missing numerator is $5$.
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What is the missing numerator in $\frac{17}{18}=\frac{10}{18}+\frac{\square}{18}$?
What is the missing numerator in $\frac{17}{18}=\frac{10}{18}+\frac{\square}{18}$?
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$7$. Since $17-10=7$, the missing numerator is $7$.
$7$. Since $17-10=7$, the missing numerator is $7$.
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Which equation equals $\frac{12}{13}$: A) $\frac{5}{13}+\frac{7}{13}$ or B) $\frac{6}{13}+\frac{7}{12}$?
Which equation equals $\frac{12}{13}$: A) $\frac{5}{13}+\frac{7}{13}$ or B) $\frac{6}{13}+\frac{7}{12}$?
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A) $\frac{5}{13}+\frac{7}{13}$. Option A sums to $\frac{12}{13}$; B has different denominators.
A) $\frac{5}{13}+\frac{7}{13}$. Option A sums to $\frac{12}{13}$; B has different denominators.
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Find and correct the error: $\frac{4}{9}=\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$.
Find and correct the error: $\frac{4}{9}=\frac{1}{9}+\frac{1}{9}+\frac{1}{9}$.
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Correct: $\frac{4}{9}=\frac{1}{9}+\frac{1}{9}+\frac{2}{9}$. The original sums to $\frac{3}{9}$, not $\frac{4}{9}$.
Correct: $\frac{4}{9}=\frac{1}{9}+\frac{1}{9}+\frac{2}{9}$. The original sums to $\frac{3}{9}$, not $\frac{4}{9}$.
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Find the missing fraction: $ rac{13}{15}= rac{7}{15}+ rac{?}{15}$
Find the missing fraction: $ rac{13}{15}= rac{7}{15}+ rac{?}{15}$
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$ rac{6}{15}$. Since $7+6=13$, the missing fraction is $ rac{6}{15}$.
$ rac{6}{15}$. Since $7+6=13$, the missing fraction is $ rac{6}{15}$.
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What is the missing numerator? $ rac{12}{13}= rac{9}{13}+ rac{?}{13}$
What is the missing numerator? $ rac{12}{13}= rac{9}{13}+ rac{?}{13}$
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$3$. Since $9+3=12$, the missing numerator is $3$.
$3$. Since $9+3=12$, the missing numerator is $3$.
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Which equation is correct? A: $ rac{3}{8}= rac{1}{8}+ rac{2}{8}$ or B: $ rac{3}{8}= rac{1}{8}+ rac{2}{7}$
Which equation is correct? A: $ rac{3}{8}= rac{1}{8}+ rac{2}{8}$ or B: $ rac{3}{8}= rac{1}{8}+ rac{2}{7}$
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A: $ rac{3}{8}= rac{1}{8}+ rac{2}{8}$. Option A keeps the same denominator; B changes it incorrectly.
A: $ rac{3}{8}= rac{1}{8}+ rac{2}{8}$. Option A keeps the same denominator; B changes it incorrectly.
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Identify the error: $ rac{4}{9}= rac{1}{9}+ rac{3}{8}$. What should the second fraction be?
Identify the error: $ rac{4}{9}= rac{1}{9}+ rac{3}{8}$. What should the second fraction be?
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$ rac{3}{9}$. The denominator must stay $9$, so $ rac{3}{9}$ is correct.
$ rac{3}{9}$. The denominator must stay $9$, so $ rac{3}{9}$ is correct.
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