Question

$\frac{4}{5} \div \frac{10}{12} =$

1. $\frac{7}{9} \div \frac{3}{4} =$

Explanation:

First Problem: $\boldsymbol{\frac{4}{5} \div \frac{10}{12}}$

Step1: Recall division of fractions rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, $\frac{4}{5} \div \frac{10}{12} = \frac{4}{5} \times \frac{12}{10}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $4 \times 12 = 48$. Multiply the denominators: $5 \times 10 = 50$. So we get $\frac{48}{50}$.

Step3: Simplify the fraction

Divide both the numerator and the denominator by their greatest common divisor, which is 2. $\frac{48 \div 2}{50 \div 2} = \frac{24}{25}$.

Step1: Recall division of fractions rule

To divide fractions, we multiply the first fraction by the reciprocal of the second fraction. So, $\frac{7}{9} \div \frac{3}{4} = \frac{7}{9} \times \frac{4}{3}$.

Step2: Multiply the numerators and denominators

Multiply the numerators: $7 \times 4 = 28$. Multiply the denominators: $9 \times 3 = 27$. So we get $\frac{28}{27}$.

Answer:

$\frac{24}{25}$

Second Problem: $\boldsymbol{\frac{7}{9} \div \frac{3}{4}}$