question_answer

   

Divide:

(a) \[\frac{5}{11}\div \frac{-3}{8}\]

(b) \[\frac{7}{5}\div \frac{-2}{3}\]

 

Answer:

(a)        \[\frac{5}{11}\div \left( \frac{-3}{8} \right)=\frac{5}{11}\times \left( \frac{8}{-3} \right)\]

\[=\frac{5\times 8}{11\times \left( -3 \right)}\]

\[=\frac{40}{-33}\]

\[=\frac{-40}{33}\]

(b) \[\frac{7}{5}\div \left( \frac{-2}{3} \right)=\frac{7}{5}\times \left( \frac{3}{-2} \right)\]

\[=\frac{7\times 3}{5\times (-2)}\]

\[=-\frac{21}{10}\]