Simplify 4/15+18/x

$\frac{4}{15} + \frac{18}{x}$

Step 1

To write

$\frac{4}{15}$ as a fraction with a common denominator, multiply by

$\frac{x}{x}$ .

$\frac{4}{15} \cdot \frac{x}{x} + \frac{18}{x}$

Step 2

To write

$\frac{18}{x}$ as a fraction with a common denominator, multiply by

$\frac{15}{15}$ .

$\frac{4}{15} \cdot \frac{x}{x} + \frac{18}{x} \cdot \frac{15}{15}$

Step 3

Write each expression with a common denominator of

$15 x$ , by multiplying each by an appropriate factor of

$1$ .

Multiply

$\frac{4}{15}$ by

$\frac{x}{x}$ .

$\frac{4 x}{15 x} + \frac{18}{x} \cdot \frac{15}{15}$

Multiply

$\frac{18}{x}$ by

$\frac{15}{15}$ .

$\frac{4 x}{15 x} + \frac{18 \cdot 15}{x \cdot 15}$

Reorder the factors of

$x \cdot 15$ .

$\frac{4 x}{15 x} + \frac{18 \cdot 15}{15 x}$

Step 4

Combine the numerators over the common denominator.

$\frac{4 x + 18 \cdot 15}{15 x}$

Step 5

Simplify the numerator.

Factor

$2$ out of

$4 x + 18 \cdot 15$ .

Factor

$2$ out of

$4 x$ .

$\frac{2 (2 x) + 18 \cdot 15}{15 x}$

Factor

$2$ out of

$18 \cdot 15$ .

$\frac{2 (2 x) + 2 (9 \cdot 15)}{15 x}$

Factor

$2$ out of

$2 (2 x) + 2 (9 \cdot 15)$ .

$\frac{2 (2 x + 9 \cdot 15)}{15 x}$

Multiply

$9$ by

$15$ .

$\frac{2 (2 x + 135)}{15 x}$

Simplify 4/15+18/x

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