Simplify 11/12+7/(4x)

$\frac{11}{12} + \frac{7}{4 x}$

Step 1

To write $\frac{11}{12}$ as a fraction with a common denominator, multiply by $\frac{x}{x}$ .

$\frac{11}{12} \cdot \frac{x}{x} + \frac{7}{4 x}$

Step 2

To write $\frac{7}{4 x}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

$\frac{11}{12} \cdot \frac{x}{x} + \frac{7}{4 x} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of $12 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{11}{12}$ by $\frac{x}{x}$ .

$\frac{11 x}{12 x} + \frac{7}{4 x} \cdot \frac{3}{3}$

Multiply $\frac{7}{4 x}$ by $\frac{3}{3}$ .

$\frac{11 x}{12 x} + \frac{7 \cdot 3}{4 x \cdot 3}$

Multiply $3$ by $4$ .

$\frac{11 x}{12 x} + \frac{7 \cdot 3}{12 x}$

Step 4

Combine the numerators over the common denominator.

$\frac{11 x + 7 \cdot 3}{12 x}$

Step 5

Multiply $7$ by $3$ .

$\frac{11 x + 21}{12 x}$