Solve Unit Fraction Division Problems - 5th Grade Math
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What is the equation rule for dividing by a unit fraction: $a \div \frac{1}{n}$?
What is the equation rule for dividing by a unit fraction: $a \div \frac{1}{n}$?
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$a \div \frac{1}{n} = a \times n$. To divide by a unit fraction, multiply by its reciprocal.
$a \div \frac{1}{n} = a \times n$. To divide by a unit fraction, multiply by its reciprocal.
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What is $\frac{1}{5} \div 7$?
What is $\frac{1}{5} \div 7$?
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$\frac{1}{35}$. Dividing $\frac{1}{5}$ into 7 equal parts gives $\frac{1}{5} \times \frac{1}{7}$.
$\frac{1}{35}$. Dividing $\frac{1}{5}$ into 7 equal parts gives $\frac{1}{5} \times \frac{1}{7}$.
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Identify the missing number: $4 \div \frac{1}{8} = \square$.
Identify the missing number: $4 \div \frac{1}{8} = \square$.
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$32$. There are 32 pieces of size $\frac{1}{8}$ in 4 wholes.
$32$. There are 32 pieces of size $\frac{1}{8}$ in 4 wholes.
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Identify the missing number: $\frac{1}{9} \div \square = \frac{1}{45}$.
Identify the missing number: $\frac{1}{9} \div \square = \frac{1}{45}$.
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$5$. To get $\frac{1}{45}$, divide $\frac{1}{9}$ by 5 (multiply denominators).
$5$. To get $\frac{1}{45}$, divide $\frac{1}{9}$ by 5 (multiply denominators).
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What is $\frac{1}{4} \div 7$?
What is $\frac{1}{4} \div 7$?
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$\frac{1}{28}$. Apply $\frac{1}{4} \div 7 = \frac{1}{4 \times 7} = \frac{1}{28}$.
$\frac{1}{28}$. Apply $\frac{1}{4} \div 7 = \frac{1}{4 \times 7} = \frac{1}{28}$.
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What is $4 \div \frac{1}{2}$?
What is $4 \div \frac{1}{2}$?
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$8$. Apply $4 \div \frac{1}{2} = 4 \times 2 = 8$.
$8$. Apply $4 \div \frac{1}{2} = 4 \times 2 = 8$.
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What is $6 \div \frac{1}{3}$?
What is $6 \div \frac{1}{3}$?
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$18$. Apply $6 \div \frac{1}{3} = 6 \times 3 = 18$.
$18$. Apply $6 \div \frac{1}{3} = 6 \times 3 = 18$.
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What is $7 \div \frac{1}{7}$?
What is $7 \div \frac{1}{7}$?
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$49$. Apply $7 \div \frac{1}{7} = 7 \times 7 = 49$.
$49$. Apply $7 \div \frac{1}{7} = 7 \times 7 = 49$.
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What is $2 \div \frac{1}{9}$?
What is $2 \div \frac{1}{9}$?
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$18$. Apply $2 \div \frac{1}{9} = 2 \times 9 = 18$.
$18$. Apply $2 \div \frac{1}{9} = 2 \times 9 = 18$.
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What is the equation rule for dividing a unit fraction by a whole number: $\frac{1}{n} \div a$?
What is the equation rule for dividing a unit fraction by a whole number: $\frac{1}{n} \div a$?
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$\frac{1}{n} \div a = \frac{1}{n \times a}$. Dividing a unit fraction by $a$ multiplies the denominator by $a$.
$\frac{1}{n} \div a = \frac{1}{n \times a}$. Dividing a unit fraction by $a$ multiplies the denominator by $a$.
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Identify the missing number: $\frac{1}{\square} \div 3 = \frac{1}{21}$.
Identify the missing number: $\frac{1}{\square} \div 3 = \frac{1}{21}$.
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$7$. Since $7 \times 3 = 21$, the original fraction is $\frac{1}{7}$.
$7$. Since $7 \times 3 = 21$, the original fraction is $\frac{1}{7}$.
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What does $\frac{1}{b} \div a$ equal when $a$ and $b$ are whole numbers and $a \ne 0$?
What does $\frac{1}{b} \div a$ equal when $a$ and $b$ are whole numbers and $a \ne 0$?
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$\frac{1}{ab}$. Dividing by $a$ multiplies the denominator by $a$.
$\frac{1}{ab}$. Dividing by $a$ multiplies the denominator by $a$.
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What does $a \div \frac{1}{b}$ equal when $a$ and $b$ are whole numbers and $b \ne 0$?
What does $a \div \frac{1}{b}$ equal when $a$ and $b$ are whole numbers and $b \ne 0$?
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$ab$. Dividing by a unit fraction multiplies by its denominator.
$ab$. Dividing by a unit fraction multiplies by its denominator.
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What is $\frac{1}{6} \div 3$?
What is $\frac{1}{6} \div 3$?
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$\frac{1}{18}$. Multiply the denominator by 3: $6 \times 3 = 18$.
$\frac{1}{18}$. Multiply the denominator by 3: $6 \times 3 = 18$.
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What is $\frac{1}{4} \div 5$?
What is $\frac{1}{4} \div 5$?
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$\frac{1}{20}$. Multiply the denominator by 5: $4 \times 5 = 20$.
$\frac{1}{20}$. Multiply the denominator by 5: $4 \times 5 = 20$.
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What is $\frac{1}{9} \div 2$?
What is $\frac{1}{9} \div 2$?
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$\frac{1}{18}$. Multiply the denominator by 2: $9 \times 2 = 18$.
$\frac{1}{18}$. Multiply the denominator by 2: $9 \times 2 = 18$.
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What is $1 \div \frac{1}{7}$?
What is $1 \div \frac{1}{7}$?
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$7$. Dividing by $\frac{1}{7}$ equals multiplying by 7.
$7$. Dividing by $\frac{1}{7}$ equals multiplying by 7.
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What is $\frac{1}{12} \div 4$?
What is $\frac{1}{12} \div 4$?
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$\frac{1}{48}$. Multiply the denominator by 4: $12 \times 4 = 48$.
$\frac{1}{48}$. Multiply the denominator by 4: $12 \times 4 = 48$.
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Identify the missing number: $\frac{1}{5} \div 2 = \frac{1}{\square}$.
Identify the missing number: $\frac{1}{5} \div 2 = \frac{1}{\square}$.
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$10$. The denominator becomes $5 \times 2 = 10$.
$10$. The denominator becomes $5 \times 2 = 10$.
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Identify the missing number: $3 \div \frac{1}{\square} = 24$.
Identify the missing number: $3 \div \frac{1}{\square} = 24$.
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$8$. Since $3 \times 8 = 24$, the missing number is 8.
$8$. Since $3 \times 8 = 24$, the missing number is 8.
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