question_answer

Find the value of:

(a) \[\left( -4 \right)\div \frac{2}{3}\]

(b)  \[\frac{-3}{5}\div 2\]

(c)  \[\frac{-4}{5}\div (-3)\]

Answer:

(a) \[4\div \frac{2}{3}=-4\times \frac{3}{2}=\frac{-4\times 3}{2}=\frac{-12}{2}=-6\]

(b) \[\frac{-3}{5}\div 2=\frac{-3}{5}\times \frac{1}{2}=\frac{-3\times 2}{5\times 2}=\frac{-3}{10}\]

(c) \[\frac{-4}{5}\div 12=\frac{-4}{5}\times \frac{1}{-3}=\frac{-4\times 1}{5\times \left( -3 \right)}=\frac{-3}{10}\]

\[=\frac{-4}{-15}=\frac{4}{15}\]