Question

Hello can you explain this to me please. Simplify the Expression by combining like terms

Answer 1

EXPLANATION

Given the expression:

$\frac{3}{4}r\text{ +2r + }\frac{1}{2}r$

First, taking r as a common factor:

$r(\frac{3}{4}+2+\frac{1}{2})$

Then, adding 3/4 with 2 as follows:

$\frac{3}{4}+2=\frac{11}{4}$

Replacing on the equation:

$r(\frac{11}{4}+\frac{1}{2})$

Adding 11/4 and 1/2:

$\frac{11}{4}+\frac{1}{2}=\frac{13}{4}$

Replacing on the equation and removing the parentheses:

$\frac{13}{4}r$