Question

Combine like terms to create an equivalent expression

−2/3p+1/5−1+5/6p

Answer 1

`(1)/(6)p-(4)/(5)`

Explanation:

`-(2)/(3)p+(1)/(5) -1+(5)/(6) p`

You can separate the expression into two so that it is easier to understand and solve.

`-(2)/(3) p+(5)/(6)p`

`(1)/(5)-1`

Make sure each expression has fractions with common denominators.

`-(2)/(3) p+(5)/(6)p\\(2)/(2) (-(2)/(3) p)+(5)/(6)p\\-(4)/(6) p+(5)/(6)p`

`(1)/(5)-1\\(1)/(5)-1((5)/(5))\\ (1)/(5)-(5)/(5)`

Now you can combine like factors.

`-(4)/(6) p+(5)/(6)p\\(1)/(6) p`

`(1)/(5)-(5)/(5)\\-(4)/(5)`

After you have combined like factors, you can add the two expressions together.

`(1)/(6)p-(4)/(5)`