Question

1. \\(\frac{4}{6} \div \frac{3}{7} =\\)\
2. \\(\frac{8}{9} \div \frac{3}{4} =\\)

Explanation:

Problem 7:

Step1: Recall fraction division rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, $\frac{4}{6} \div \frac{3}{7} = \frac{4}{6} \times \frac{7}{3}$.

Step2: Multiply numerators and denominators

Multiply the numerators: $4 \times 7 = 28$. Multiply the denominators: $6 \times 3 = 18$. So we get $\frac{28}{18}$.

Step3: Simplify the fraction

Divide numerator and denominator by their greatest common divisor, which is 2. $\frac{28 \div 2}{18 \div 2} = \frac{14}{9}$.

Step1: Recall fraction division rule

To divide fractions, multiply the first fraction by the reciprocal of the second fraction. So, $\frac{8}{9} \div \frac{3}{4} = \frac{8}{9} \times \frac{4}{3}$.

Step2: Multiply numerators and denominators

Multiply the numerators: $8 \times 4 = 32$. Multiply the denominators: $9 \times 3 = 27$. So we get $\frac{32}{27}$.

Answer:

$\frac{14}{9}$

Problem 12: