Question

1. $\frac{4}{7}div\frac{2}{3}=$

$\frac{5}{7}$
$1\frac{5}{21}$
$\frac{6}{7}$
$\frac{8}{21}$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{4}{7}\div\frac{2}{3}=\frac{4}{7}\times\frac{3}{2}$.

Step2: Multiply numerators and denominators

Multiply the numerators $4\times3 = 12$ and the denominators $7\times2=14$. So we have $\frac{4}{7}\times\frac{3}{2}=\frac{12}{14}$.

Step3: Simplify the fraction

Divide both the numerator and denominator by their greatest - common divisor, which is 2. $\frac{12\div2}{14\div2}=\frac{6}{7}$.

Answer:

$\frac{6}{7}$