Simplify 12/(5x)+7/(6x)

$\frac{12}{5 x} + \frac{7}{6 x}$

Step 1

To write $\frac{12}{5 x}$ as a fraction with a common denominator, multiply by $\frac{6}{6}$ .

$\frac{12}{5 x} \cdot \frac{6}{6} + \frac{7}{6 x}$

Step 2

To write $\frac{7}{6 x}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

$\frac{12}{5 x} \cdot \frac{6}{6} + \frac{7}{6 x} \cdot \frac{5}{5}$

Step 3

Write each expression with a common denominator of $30 x$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{12}{5 x}$ by $\frac{6}{6}$ .

$\frac{12 \cdot 6}{5 x \cdot 6} + \frac{7}{6 x} \cdot \frac{5}{5}$

Multiply $6$ by $5$ .

$\frac{12 \cdot 6}{30 x} + \frac{7}{6 x} \cdot \frac{5}{5}$

Multiply $\frac{7}{6 x}$ by $\frac{5}{5}$ .

$\frac{12 \cdot 6}{30 x} + \frac{7 \cdot 5}{6 x \cdot 5}$

Multiply $5$ by $6$ .

$\frac{12 \cdot 6}{30 x} + \frac{7 \cdot 5}{30 x}$

Step 4

Combine the numerators over the common denominator.

$\frac{12 \cdot 6 + 7 \cdot 5}{30 x}$

Step 5

Simplify the numerator.

Multiply $12$ by $6$ .

$\frac{72 + 7 \cdot 5}{30 x}$

Multiply $7$ by $5$ .

$\frac{72 + 35}{30 x}$

Add $72$ and $35$ .

$\frac{107}{30 x}$