Question

1. simplify.

\frac{2}{5}\div\frac{4}{7}

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So $\frac{2}{5}\div\frac{4}{7}=\frac{2}{5}\times\frac{7}{4}$.

Step2: Multiply numerators and denominators

Multiply the numerators $2\times7 = 14$ and the denominators $5\times4=20$. So we get $\frac{14}{20}$.

Step3: Simplify the fraction

Find the greatest - common divisor of 14 and 20, which is 2. Divide both the numerator and denominator by 2. $\frac{14\div2}{20\div2}=\frac{7}{10}$.

Answer:

$\frac{7}{10}$