(1/2a-1/3b)-(1/3b-1/2a)

Jasonbradley

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Jun 16, 2024

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Simplifying the Expression: (1/2a - 1/3b) - (1/3b - 1/2a)

This expression involves fractions with variables in the denominator. Let's break down the steps to simplify it:

Step 1: Distribute the Negative Sign

The expression contains a subtraction between two sets of parentheses. The negative sign in front of the second set of parentheses needs to be distributed:

(1/2a - 1/3b) - (1/3b - 1/2a) = 1/2a - 1/3b - 1/3b + 1/2a

Step 2: Combine Like Terms

Now we can combine the terms with the same variable:

(1/2a + 1/2a) + (-1/3b - 1/3b)

Step 3: Simplify

Adding the coefficients of the like terms, we get:

(1/2a + 1/2a) + (-1/3b - 1/3b) = a - 2/3b

Final Result

The simplified form of the expression (1/2a - 1/3b) - (1/3b - 1/2a) is a - 2/3b.