Simplify 3/8x+1/8+1/4x+1/4

$\frac{3}{8} x + \frac{1}{8} + \frac{1}{4} x + \frac{1}{4}$

Simplify each term.

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

$\frac{3 x}{8} + \frac{1}{8} + \frac{1}{4} x + \frac{1}{4}$

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

$\frac{3 x}{8} + \frac{1}{8} + \frac{x}{4} + \frac{1}{4}$

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

$\frac{3 x}{8} + \frac{x}{4} \cdot \frac{2}{2} + \frac{1}{8} + \frac{1}{4}$

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

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

$\frac{3 x}{8} + \frac{x \cdot 2}{4 \cdot 2} + \frac{1}{8} + \frac{1}{4}$

Multiply $4$ by $2$ .

$\frac{3 x}{8} + \frac{x \cdot 2}{8} + \frac{1}{8} + \frac{1}{4}$

Simplify terms.

Combine the numerators over the common denominator.

$\frac{3 x + x \cdot 2}{8} + \frac{1}{8} + \frac{1}{4}$

Combine the numerators over the common denominator.

$\frac{3 x + x \cdot 2 + 1}{8} + \frac{1}{4}$

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

$\frac{3 x + 2 x + 1}{8} + \frac{1}{4}$

Add $3 x$ and $2 x$ .

$\frac{5 x + 1}{8} + \frac{1}{4}$

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{2}{2}$ .

$\frac{5 x + 1}{8} + \frac{1}{4} \cdot \frac{2}{2}$

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

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

$\frac{5 x + 1}{8} + \frac{2}{4 \cdot 2}$

Multiply $4$ by $2$ .

$\frac{5 x + 1}{8} + \frac{2}{8}$

Combine the numerators over the common denominator.

$\frac{5 x + 1 + 2}{8}$

Add $1$ and $2$ .

$\frac{5 x + 3}{8}$