Question

Find the value of `(0.5 xx 0.5 + 0.09 - 0.15)/(0.125 + 0.027)`

Options

• `4/5`

• `5/4`

• `5/6`

• `3/4`

Answer 1

`5/4`

Explanation:

We have, `(0.5 xx 0.5 + 0.09 - 0.15)/(0.125 + 0.027)`

⇒ `(0.5 xx 0.5 + 0.3 xx 0.3 - 0.15)/(0.5^3 + 0.3^3)`

⇒ `((0.5 xx 0.5 + 0.3 xx 0.3 - 0.15))/((0.5 + 0.3)(0.5 xx 0.5 + 0.3 xx 0.3 - 0.15))`

⇒ `1/0.8 = 10/8 = 5/4`