Question

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

Answer 1

`\bold{(\,351\,)/(275)}`

Explanation:

`\left(\frac9{10}+\frac25\right)/\left((11)/(6)\cdot\frac59\right)\ =\ \left(\frac9{10}+\frac4{10}\right)/(55)/(54)=\\\\\\ =\ (13)/(10)*(54)/(55)\ =\ (13)/(5)*(27)/(55)\ =\ (351)/(275)`