Question

How do you evaluate `(-1/5)+7/4`?

Answer 1

`31/20`

Explanation:

`(-1/5)+7/4=7/4-1/5`

You cannot add or subtract until you have same denominators, so you can start by unifying the denominator

`7/4-1/5=(7*5)/(4*5)-(1*4)/(5*4)=35/20-4/20`

When you multiply by `5/5` and `4/4` you actually do not change the value of the expression, because `5/5=1` and `4/4=1` so you are multiplying by `1` which does not affect the expression

Now after you have like denominators, you can subtract

`35/20-4/20=31/20`