Question

Simplify if necessary by distributing and combining like terms: 3/4(16m-5)-3/2

Answer 1

To simplify the given expression, distribute 3/4 to each term inside the parentheses and combine like terms. The simplified expression is 12m - (33/2).

Step-by-step explanation:

To simplify the given expression, we need to distribute and combine like terms.

First, we distribute 3/4 to each term inside the parentheses:

3/4 * 16m - 3/4 * 5 - 3/2

This gives us (12m - 15) - 3/2.

Next, we combine like terms by subtracting 15 from 12m to get 12m - 15. Finally, we subtract 3/2 from the expression:

12m - 15 - 3/2

Combining like terms, we have 12m - (15 + 3/2), which can be simplified further as 12m - (30/2 + 3/2).

Now, we can combine the numerators of the fractions and simplify:

12m - (33/2)