(2/3t-6+3/4t)-(5/8t+12)

2 min read Jun 16, 2024

Simplifying the Expression: (2/3t - 6 + 3/4t) - (5/8t + 12)

This article will walk you through the process of simplifying the given algebraic expression: (2/3t - 6 + 3/4t) - (5/8t + 12).

First, we need to combine the terms with 't' within the first set of parentheses.

To combine these terms, we need a common denominator for 3 and 4, which is 12.

Now our expression becomes: (17/12t - 6) - (5/8t + 12)

We need to distribute the negative sign in front of the second set of parentheses. This means we multiply each term inside the parentheses by -1.

Now we can combine the terms with 't' and the constant terms.

To combine the 't' terms, we need a common denominator for 12 and 8, which is 24.

Therefore, the simplified form of the expression (2/3t - 6 + 3/4t) - (5/8t + 12) is (19/24t - 18).