Question

Evaluate and simplify the following complex fraction.

Answer 1

The answer is

`- (10)/(7) \: \: \: or \: \: - 1 (3)/(7)`

Explanation:

`( - (5)/(7) )/( (2)/(4) )`

First of all we can write the fraction as

`- (5)/(7) / (2)/(4)`

Simplify the second fraction

That's

`(2)/(4) = (1)/(2)`

So we have

`- (5)/(7) / (1)/(2)`

Next change the division sign to multiplication sign and reverse the second fraction

That's

`-(5)/(7) * (2)/(1)`

Multiply the terms

We have the final answer as

`- (10)/(7) \: \: \: or \: \: - 1 (3)/(7)`

Hope this helps you