Divide Fractions by Fractions - 6th Grade Math
Card 1 of 25
Find and correct the error: $\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{3}{4}$.
Find and correct the error: $\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{3}{4}$.
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Correct: $\frac{2}{3} \times \frac{4}{3}$. Should multiply by reciprocal $\frac{4}{3}$, not $\frac{3}{4}$.
Correct: $\frac{2}{3} \times \frac{4}{3}$. Should multiply by reciprocal $\frac{4}{3}$, not $\frac{3}{4}$.
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State the general rule for dividing fractions: $a/b c/d$.
State the general rule for dividing fractions: $a/b c/d$.
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$\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$. Multiply the first fraction by the reciprocal of the second.
$\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$. Multiply the first fraction by the reciprocal of the second.
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What operation is equivalent to dividing by a fraction $c/d$?
What operation is equivalent to dividing by a fraction $c/d$?
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Multiply by the reciprocal: $\times \frac{d}{c}$. Division by a fraction equals multiplication by its reciprocal.
Multiply by the reciprocal: $\times \frac{d}{c}$. Division by a fraction equals multiplication by its reciprocal.
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What is the reciprocal of $3/4$?
What is the reciprocal of $3/4$?
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$\frac{4}{3}$. Flip the numerator and denominator to find the reciprocal.
$\frac{4}{3}$. Flip the numerator and denominator to find the reciprocal.
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Compute $\frac{2}{3} \div \frac{3}{4}$.
Compute $\frac{2}{3} \div \frac{3}{4}$.
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$\frac{8}{9}$. $\frac{2}{3} \times \frac{4}{3} = \frac{8}{9}$ by the reciprocal rule.
$\frac{8}{9}$. $\frac{2}{3} \times \frac{4}{3} = \frac{8}{9}$ by the reciprocal rule.
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Compute $\frac{5}{6} \div \frac{1}{2}$.
Compute $\frac{5}{6} \div \frac{1}{2}$.
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$\frac{5}{3}$. $\frac{5}{6} \times \frac{2}{1} = \frac{10}{6} = \frac{5}{3}$.
$\frac{5}{3}$. $\frac{5}{6} \times \frac{2}{1} = \frac{10}{6} = \frac{5}{3}$.
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Compute $\frac{3}{5} \div \frac{9}{10}$.
Compute $\frac{3}{5} \div \frac{9}{10}$.
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$\frac{2}{3}$. $\frac{3}{5} \times \frac{10}{9} = \frac{30}{45} = \frac{2}{3}$.
$\frac{2}{3}$. $\frac{3}{5} \times \frac{10}{9} = \frac{30}{45} = \frac{2}{3}$.
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Compute $\frac{7}{8} \div \frac{7}{16}$.
Compute $\frac{7}{8} \div \frac{7}{16}$.
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$2$. $\frac{7}{8} \times \frac{16}{7} = \frac{112}{56} = 2$.
$2$. $\frac{7}{8} \times \frac{16}{7} = \frac{112}{56} = 2$.
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Compute $\frac{4}{9} \div \frac{2}{3}$.
Compute $\frac{4}{9} \div \frac{2}{3}$.
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$\frac{2}{3}$. $\frac{4}{9} \times \frac{3}{2} = \frac{12}{18} = \frac{2}{3}$.
$\frac{2}{3}$. $\frac{4}{9} \times \frac{3}{2} = \frac{12}{18} = \frac{2}{3}$.
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Compute $3 \div \frac{1}{2}$.
Compute $3 \div \frac{1}{2}$.
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$6$. $3 \times \frac{2}{1} = 6$ by the reciprocal rule.
$6$. $3 \times \frac{2}{1} = 6$ by the reciprocal rule.
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Compute $\frac{2}{5} \div 4$.
Compute $\frac{2}{5} \div 4$.
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$\frac{1}{10}$. $\frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$.
$\frac{1}{10}$. $\frac{2}{5} \times \frac{1}{4} = \frac{2}{20} = \frac{1}{10}$.
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Compute $4 \div \frac{2}{3}$.
Compute $4 \div \frac{2}{3}$.
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$6$. $4 \times \frac{3}{2} = \frac{12}{2} = 6$.
$6$. $4 \times \frac{3}{2} = \frac{12}{2} = 6$.
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How much chocolate does each get if $3$ people share $\frac{1}{2}$ lb equally?
How much chocolate does each get if $3$ people share $\frac{1}{2}$ lb equally?
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$\frac{1}{6}$ lb each. Divide total amount by number of people: $\frac{1}{2} \div 3$.
$\frac{1}{6}$ lb each. Divide total amount by number of people: $\frac{1}{2} \div 3$.
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How many $\frac{3}{4}$-cup servings are in $\frac{2}{3}$ cup of yogurt?
How many $\frac{3}{4}$-cup servings are in $\frac{2}{3}$ cup of yogurt?
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$\frac{8}{9}$ serving. Divide total by serving size: $\frac{2}{3} \div \frac{3}{4}$.
$\frac{8}{9}$ serving. Divide total by serving size: $\frac{2}{3} \div \frac{3}{4}$.
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Which expression matches “How many $\frac{3}{4}$-cup servings are in $\frac{2}{3}$ cup”?
Which expression matches “How many $\frac{3}{4}$-cup servings are in $\frac{2}{3}$ cup”?
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$\frac{2}{3} \div \frac{3}{4}$. Total amount divided by size of each serving.
$\frac{2}{3} \div \frac{3}{4}$. Total amount divided by size of each serving.
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Which expression matches “Each person’s share of $\frac{1}{2}$ lb split among $3$ people”?
Which expression matches “Each person’s share of $\frac{1}{2}$ lb split among $3$ people”?
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$\frac{1}{2} \div 3$. Total amount divided by number of people.
$\frac{1}{2} \div 3$. Total amount divided by number of people.
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Find the width: area $\frac{1}{2}$ sq mi and length $\frac{3}{4}$ mi.
Find the width: area $\frac{1}{2}$ sq mi and length $\frac{3}{4}$ mi.
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$\frac{2}{3}$ mi. $ \text{Width} = \text{Area} \div \text{Length} = \frac{1}{2} \div \frac{3}{4} $
$\frac{2}{3}$ mi. $ \text{Width} = \text{Area} \div \text{Length} = \frac{1}{2} \div \frac{3}{4} $
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Identify the correct equation for rectangle width $w$: $A=\frac{1}{2}$, $L=\frac{3}{4}$.
Identify the correct equation for rectangle width $w$: $A=\frac{1}{2}$, $L=\frac{3}{4}$.
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$w = \frac{1}{2} \div \frac{3}{4}$. Area = Length $\times$ Width, so Width = Area $\div$ Length.
$w = \frac{1}{2} \div \frac{3}{4}$. Area = Length $\times$ Width, so Width = Area $\div$ Length.
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State the general rule for dividing fractions: $\frac{a}{b} \div \frac{c}{d}$
State the general rule for dividing fractions: $\frac{a}{b} \div \frac{c}{d}$
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$\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$. Multiply by the reciprocal: flip the second fraction and multiply.
$\frac{a}{b} \div \frac{c}{d} = \frac{ad}{bc}$. Multiply by the reciprocal: flip the second fraction and multiply.
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How much chocolate does each person get if $3$ people share $\frac{1}{2}$ lb equally?
How much chocolate does each person get if $3$ people share $\frac{1}{2}$ lb equally?
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$\frac{1}{6}$ lb. $\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$.
$\frac{1}{6}$ lb. $\frac{1}{2} \div 3 = \frac{1}{2} \times \frac{1}{3} = \frac{1}{6}$.
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What is $\frac{6}{7} \div \frac{3}{14}$?
What is $\frac{6}{7} \div \frac{3}{14}$?
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$4$. $\frac{6}{7} \times \frac{14}{3} = \frac{84}{21} = 4$.
$4$. $\frac{6}{7} \times \frac{14}{3} = \frac{84}{21} = 4$.
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What is $\frac{9}{10} \div \frac{3}{5}$?
What is $\frac{9}{10} \div \frac{3}{5}$?
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$\frac{3}{2}$. $\frac{9}{10} \times \frac{5}{3} = \frac{45}{30} = \frac{3}{2}$.
$\frac{3}{2}$. $\frac{9}{10} \times \frac{5}{3} = \frac{45}{30} = \frac{3}{2}$.
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What is $\frac{4}{9} \div \frac{2}{3}$?
What is $\frac{4}{9} \div \frac{2}{3}$?
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$\frac{2}{3}$. $\frac{4}{9} \times \frac{3}{2} = \frac{12}{18} = \frac{2}{3}$.
$\frac{2}{3}$. $\frac{4}{9} \times \frac{3}{2} = \frac{12}{18} = \frac{2}{3}$.
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What is $\frac{7}{8} \div \frac{7}{4}$?
What is $\frac{7}{8} \div \frac{7}{4}$?
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$\frac{1}{2}$. $\frac{7}{8} \times \frac{4}{7} = \frac{28}{56} = \frac{1}{2}$.
$\frac{1}{2}$. $\frac{7}{8} \times \frac{4}{7} = \frac{28}{56} = \frac{1}{2}$.
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What is $\frac{3}{5} \div \frac{2}{5}$?
What is $\frac{3}{5} \div \frac{2}{5}$?
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$\frac{3}{2}$. $\frac{3}{5} \times \frac{5}{2} = \frac{15}{10} = \frac{3}{2}$.
$\frac{3}{2}$. $\frac{3}{5} \times \frac{5}{2} = \frac{15}{10} = \frac{3}{2}$.
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