The expression 4x/5 - 2x/3

In order to simplify this you need a common denominator. 15 works well for this. in order to keep the expression equivalent, we must multiply everything by the same thing, but we can format it in any way we like. we need to multiply everything by 1, but we can rewrite 1 by putting a number over itself, such as 5/5 and 3/3.

so we need to get both denominators to equal 15 but we can only multiply by 1. this means we need to multiply 4x/5 by 3/3 and 2x/3 by 5/5. when we do this we get 12x/15-10x/15

next, we simply combine like terms to get 2x/15 as our final answer