Question

Combine like terms to create an equivalent expression.

Enter any coefficients as simplified proper or improper fractions or integers.
-2/3p+ 1/5 -1+ 5/6p

Answer 1

1/6 p - 4/5 or -4/5 + 1/6p They both mean the same thing.

Explanation:

You have two sets of like terms. You have 2 terms that have the variable p as part of the term and you have 2 terms with no variable that are called constants.

-2/3p + 5/6p Are two terms that you want to combine. We need common denominators to add. The common denominator would be 6, so we will make an equivalent fraction with -2/3 with 6 as the denominator.

-2/3 = -4/6 We just multiple the top (numerator) and the bottom (denominator of the first fraction (-2/3) by 2 to the get the second faction (-4/6). Now we can add the 2 terms with p together.

-4/6p + 5/6p The denominators stays the same (6) and we add the numerators -4 + 5 = 1, So our p term is 1/6p

Now we have to combine the constant terms of 1/5 and - 1. Another name for -1 is 5/5. We are going to use this form so that our denominators are the same.

1/5 - 5/5 = -4/5