Question

divide. write your answer as a fraction or
-\frac{4}{3}\div(-\frac{2}{5})

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is the same as multiplying by its reciprocal. So, $-\frac{4}{3}\div(-\frac{2}{5})$ becomes $-\frac{4}{3}\times(-\frac{5}{2})$.

Step2: Multiply the numerators and denominators

$(-4)\times(- 5)=20$ and $3\times2 = 6$. So the result is $\frac{20}{6}$.

Step3: Simplify the fraction

Divide both the numerator and denominator by their greatest - common divisor, which is 2. $\frac{20\div2}{6\div2}=\frac{10}{3}$.

Answer:

$\frac{10}{3}$