Question

How do you write `(x+2)/3-(x-3)/4` as a single fraction?

Answer 1

`(x+17)/12`

Explanation:

Treat algebraic fractions in the same way as arithmetic fractions.

We need a common denominator - in this case it is 12.
Find the equivalent fractions:

`((x+2))/3 xx 4/4" - "( (x-3))/4 xx3/3`

=`(4(x+2))/12 - (3(x-3))/12`

=`(4x+8-3x+9)/12 " "larr` simplify the numerator

=`(x+17)/12`