Simplify 3/4r+2r+1/2r

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

Simplify each term.

Combine $\frac{3}{4}$ and $r$ .

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

Combine $\frac{1}{2}$ and $r$ .

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

Find the common denominator.

Write $2 r$ as a fraction with denominator $1$ .

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

Multiply $\frac{2 r}{1}$ by $\frac{4}{4}$ .

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

Multiply $\frac{2 r}{1}$ by $\frac{4}{4}$ .

$\frac{3 r}{4} + \frac{2 r \cdot 4}{4} + \frac{r}{2}$

Multiply $\frac{r}{2}$ by $\frac{2}{2}$ .

$\frac{3 r}{4} + \frac{2 r \cdot 4}{4} + \frac{r}{2} \cdot \frac{2}{2}$

Multiply $\frac{r}{2}$ by $\frac{2}{2}$ .

$\frac{3 r}{4} + \frac{2 r \cdot 4}{4} + \frac{r \cdot 2}{2 \cdot 2}$

Multiply $2$ by $2$ .

$\frac{3 r}{4} + \frac{2 r \cdot 4}{4} + \frac{r \cdot 2}{4}$

Combine the numerators over the common denominator.

$\frac{3 r + 2 r \cdot 4 + r \cdot 2}{4}$

Simplify each term.

Multiply $4$ by $2$ .

$\frac{3 r + 8 r + r \cdot 2}{4}$

Move $2$ to the left of $r$ .

$\frac{3 r + 8 r + 2 r}{4}$

Simplify by adding terms.

Add $3 r$ and $8 r$ .

$\frac{11 r + 2 r}{4}$

Add $11 r$ and $2 r$ .

$\frac{13 r}{4}$