Question

How do you simplify `(10x+3)/8-(3x+12)/8`?

Answer 1

`= (7x-9)/8`

Explanation:

When adding or subtracting fractions, the denominators of all the fractions need to be the same.
In this case, they are already both `8`, so we can combine the two fractions into one:

`(10x+3)/8 -(3x+12)/8`

`= (10+3-(3x+12))/8" "larr` be careful with the minus sign

`=(10x+3-3x-12)/8" "larr`collect like terms

`= (7x-9)/8`