Question

What is$$\frac{\frac{1}{5}-\frac{1}{6}}{\frac{1}{3}+\frac{1}{4}}+\frac{1}{2}?$$

Answer 1

`(39)/(70)`

Explanation:

Given the expression

`((1)/(5)-(1)/(6))/((1)/(3)+(1)/(4))+(1)/(2)` we are to find the value of x as shown below;

`((1)/(5)-(1)/(6))/((1)/(3)+(1)/(4))+(1)/(2)\\= ((6-5)/(30) )/((4+3)/(12) ) + (1)/(2)\\\\= ((1)/(30) )/((7)/(12) ) + (1)/(2) \\\\= (1)/(30) * (12)/(7) + (1)/(2)\\\\= (2)/(35) + (1)/(2) \\\\= (4+35)/(70) \\\\= (39)/(70)`