Question

Question #a69d2

Answer 1

`247/20=12 7/20=12.35`

Explanation:

Which answer you choose depends on whether you want to use only decimals or only fractions.

If you use fractions, you must first restate the problem using only fractions.

`(-1/4+3)+(-1/5+5)-(-5/2-2 3/10)`

We can restate this, writing the mixed fraction `2 3/10` as the improper fraction `23/10`.

`(-1/4+3)+(-1/5+5)-(-5/2-23/10)`

Inside each of the parentheses, add or subtract the fractions.

`(11/4)+(24/5)-(-48/10)`

Get rid of the negatives by applying the principle that a negative times a negative is a positive.

`(11/4)+(24/5)+(48/10)`

Notice the greatest common denominator is `20` because `10times2=20`, `5times4=20`, and `4times5=20`. This gives

`((11times5)/(4times5))+((24times4)/(5times4))+((48times2)/(10times2))`

Or

`55/20+96/20+96/20=247/20=12 7/20=12/35`