Question

Divide the sum of 9/10 and 2/5 by the product of 11/6 and 5/9

Answer 1

Answer:

                 $\bold{\dfrac{\,351\,}{275}}$

Step-by-step explanation:

$\left(\dfrac9{10}+\dfrac25\right)\div\left(\dfrac{11}{6}\cdot\dfrac59\right)\ =\ \left(\dfrac9{10}+\dfrac4{10}\right)\div\dfrac{55}{54}=\\\\\\ =\ \dfrac{13}{10}\times\dfrac{54}{55}\ =\ \dfrac{13}{5}\times\dfrac{27}{55}\ =\ \dfrac{351}{275}$