Simplify 3/8r-1/4r+2s

$\frac{3}{8} r - \frac{1}{4} r + 2 s$

Simplify each term.

Combine $\frac{3}{8}$ and $r$ .

$\frac{3 r}{8} - \frac{1}{4} r + 2 s$

Combine $r$ and $\frac{1}{4}$ .

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

To write $- \frac{r}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

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

Write each expression with a common denominator of $8$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $4$ by $2$ .

$\frac{3 r}{8} - \frac{r \cdot 2}{8} + 2 s$

Combine the numerators over the common denominator.

$\frac{3 r - r \cdot 2}{8} + 2 s$

Simplify each term.

Simplify the numerator.

Factor $r$ out of $3 r - r \cdot 2$ .

Factor $r$ out of $3 r$ .

$\frac{r \cdot 3 - r \cdot 2}{8} + 2 s$

Factor $r$ out of $- r \cdot 2$ .

$\frac{r \cdot 3 + r (- 1 \cdot 2)}{8} + 2 s$

Factor $r$ out of $r \cdot 3 + r (- 1 \cdot 2)$ .

$\frac{r (3 - 1 \cdot 2)}{8} + 2 s$

Multiply $- 1$ by $2$ .

$\frac{r (3 - 2)}{8} + 2 s$

Subtract $2$ from $3$ .

$\frac{r \cdot 1}{8} + 2 s$

Multiply $r$ by $1$ .

$\frac{r}{8} + 2 s$