Question

divide. write your answer as a fraction or
$\frac{9}{10}divleft(-\frac{3}{2}
ight)$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is multiplying by its reciprocal. So $\frac{9}{10}\div(-\frac{3}{2})=\frac{9}{10}\times(-\frac{2}{3})$.

Step2: Multiply numerators and denominators

Multiply the numerators $9\times(- 2)=-18$ and the denominators $10\times3 = 30$. So we get $\frac{-18}{30}$.

Step3: Simplify the fraction

Find the greatest - common divisor of 18 and 30, which is 6. Divide both the numerator and denominator by 6. $\frac{-18\div6}{30\div6}=-\frac{3}{5}$.

Answer:

$-\frac{3}{5}$