QUESTION IMAGE
Question
- $\frac{6}{8} div \frac{4}{11} =$ 19. $\frac{4}{5} div \frac{2}{7} =$ 20. $\frac{8}{9} div \frac{5}{6} =$ 23. $\frac{8}{9} div \frac{3}{7} =$ 24. $\frac{8}{9} div \frac{2}{4} =$ 25. $\frac{4}{6} div \frac{2}{9} =$
Let's solve these fraction division problems one by one. Remember that dividing by a fraction is the same as multiplying by its reciprocal.
Problem 18: $\boldsymbol{\frac{6}{8} \div \frac{4}{11}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{4}{11}$ is $\frac{11}{4}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{6}{8} \times \frac{11}{4} = \frac{6 \times 11}{8 \times 4} = \frac{66}{32}$
Step 3: Simplify the fraction
Divide numerator and denominator by 2: $\frac{66 \div 2}{32 \div 2} = \frac{33}{16}$
Problem 19: $\boldsymbol{\frac{4}{5} \div \frac{2}{7}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{2}{7}$ is $\frac{7}{2}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{4}{5} \times \frac{7}{2} = \frac{4 \times 7}{5 \times 2} = \frac{28}{10}$
Step 3: Simplify the fraction
Divide numerator and denominator by 2: $\frac{28 \div 2}{10 \div 2} = \frac{14}{5}$
Problem 20: $\boldsymbol{\frac{8}{9} \div \frac{5}{6}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{5}{6}$ is $\frac{6}{5}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{8}{9} \times \frac{6}{5} = \frac{8 \times 6}{9 \times 5} = \frac{48}{45}$
Step 3: Simplify the fraction
Divide numerator and denominator by 3: $\frac{48 \div 3}{45 \div 3} = \frac{16}{15}$
Problem 23: $\boldsymbol{\frac{8}{9} \div \frac{3}{7}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{8}{9} \times \frac{7}{3} = \frac{8 \times 7}{9 \times 3} = \frac{56}{27}$
Problem 24: $\boldsymbol{\frac{8}{9} \div \frac{2}{4}}$ (simplify $\frac{2}{4}$ to $\frac{1}{2}$ first)
Step 1: Simplify the divisor
$\frac{2}{4} = \frac{1}{2}$
Step 2: Find the reciprocal of the divisor
The reciprocal of $\frac{1}{2}$ is $2$.
Step 3: Multiply the dividend by the reciprocal
$\frac{8}{9} \times 2 = \frac{16}{9}$
Problem 25: $\boldsymbol{\frac{4}{6} \div \frac{2}{9}}$ (simplify $\frac{4}{6}$ to $\frac{2}{3}$ first)
Step 1: Simplify the dividend
$\frac{4}{6} = \frac{2}{3}$
Step 2: Find the reciprocal of the divisor
The reciprocal of $\frac{2}{9}$ is $\frac{9}{2}$.
Step 3: Multiply the dividend by the reciprocal
$\frac{2}{3} \times \frac{9}{2} = \frac{18}{6} = 3$
Final Answers:
- $\boldsymbol{\frac{33}{16}}$
- $\boldsymbol{\frac{14}{5}}$
- $\boldsymbol{\frac{16}{15}}$
- $\boldsymbol{\frac{56}{27}}$
- $\boldsymbol{\frac{16}{9}}$
- $\boldsymbol{3}$
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Let's solve these fraction division problems one by one. Remember that dividing by a fraction is the same as multiplying by its reciprocal.
Problem 18: $\boldsymbol{\frac{6}{8} \div \frac{4}{11}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{4}{11}$ is $\frac{11}{4}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{6}{8} \times \frac{11}{4} = \frac{6 \times 11}{8 \times 4} = \frac{66}{32}$
Step 3: Simplify the fraction
Divide numerator and denominator by 2: $\frac{66 \div 2}{32 \div 2} = \frac{33}{16}$
Problem 19: $\boldsymbol{\frac{4}{5} \div \frac{2}{7}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{2}{7}$ is $\frac{7}{2}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{4}{5} \times \frac{7}{2} = \frac{4 \times 7}{5 \times 2} = \frac{28}{10}$
Step 3: Simplify the fraction
Divide numerator and denominator by 2: $\frac{28 \div 2}{10 \div 2} = \frac{14}{5}$
Problem 20: $\boldsymbol{\frac{8}{9} \div \frac{5}{6}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{5}{6}$ is $\frac{6}{5}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{8}{9} \times \frac{6}{5} = \frac{8 \times 6}{9 \times 5} = \frac{48}{45}$
Step 3: Simplify the fraction
Divide numerator and denominator by 3: $\frac{48 \div 3}{45 \div 3} = \frac{16}{15}$
Problem 23: $\boldsymbol{\frac{8}{9} \div \frac{3}{7}}$
Step 1: Find the reciprocal of the divisor
The reciprocal of $\frac{3}{7}$ is $\frac{7}{3}$.
Step 2: Multiply the dividend by the reciprocal
$\frac{8}{9} \times \frac{7}{3} = \frac{8 \times 7}{9 \times 3} = \frac{56}{27}$
Problem 24: $\boldsymbol{\frac{8}{9} \div \frac{2}{4}}$ (simplify $\frac{2}{4}$ to $\frac{1}{2}$ first)
Step 1: Simplify the divisor
$\frac{2}{4} = \frac{1}{2}$
Step 2: Find the reciprocal of the divisor
The reciprocal of $\frac{1}{2}$ is $2$.
Step 3: Multiply the dividend by the reciprocal
$\frac{8}{9} \times 2 = \frac{16}{9}$
Problem 25: $\boldsymbol{\frac{4}{6} \div \frac{2}{9}}$ (simplify $\frac{4}{6}$ to $\frac{2}{3}$ first)
Step 1: Simplify the dividend
$\frac{4}{6} = \frac{2}{3}$
Step 2: Find the reciprocal of the divisor
The reciprocal of $\frac{2}{9}$ is $\frac{9}{2}$.
Step 3: Multiply the dividend by the reciprocal
$\frac{2}{3} \times \frac{9}{2} = \frac{18}{6} = 3$
Final Answers:
- $\boldsymbol{\frac{33}{16}}$
- $\boldsymbol{\frac{14}{5}}$
- $\boldsymbol{\frac{16}{15}}$
- $\boldsymbol{\frac{56}{27}}$
- $\boldsymbol{\frac{16}{9}}$
- $\boldsymbol{3}$