Question

Use the distributive property to remove the parentheses. Simplify your answer as much as possible.

Answer 1

4y+6

The given expression is 8(1/2y+3/4)

To make it easier put 8/1, so we can multiply fractions without getting confused.

First step is 8/1•1/2, for the numerator or top, we have 8•1=8. The denominator or bottom, we have 1•2=2. Now we put them back together like a puzzle. The numerator is 8, and the denominator is 2. So we put eight over two 8/2. Eight divided by two equals four. 8/2=4

So far we've solved for the first half. Don't forget the variable at the end of the first section!

We have 4y+(3/4) now.
But we don't stop there. The eight on the outside of the parenthesis also apply to 3/4.

Same thing we put 8/1 and multiply top and bottom against 3/4.
8•3=24, for the numerator or top value.
1•4=4 for the denominator or bottom value. We combine them back into a fraction, so we have 24/4. Now we don't stop there. We need to simplify the fraction so twenty four divided by four equals six, or 24/4=6.

We plug it back into the original equation with both our new answers, leaving us with 4y+6



The completely simplified answer is 4y+6