Simplify 2/3+1/(15x^3)

$\frac{2}{3} + \frac{1}{15 x^{3}}$

Step 1

To write $\frac{2}{3}$ as a fraction with a common denominator, multiply by $\frac{5 x^{3}}{5 x^{3}}$ .

$\frac{2}{3} \cdot \frac{5 x^{3}}{5 x^{3}} + \frac{1}{15 x^{3}}$

Step 2

Write each expression with a common denominator of $15 x^{3}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{3}$ by $\frac{5 x^{3}}{5 x^{3}}$ .

$\frac{2 (5 x^{3})}{3 (5 x^{3})} + \frac{1}{15 x^{3}}$

Multiply $5$ by $3$ .

$\frac{2 (5 x^{3})}{15 x^{3}} + \frac{1}{15 x^{3}}$

Step 3

Combine the numerators over the common denominator.

$\frac{2 (5 x^{3}) + 1}{15 x^{3}}$

Step 4

Multiply $2$ by $5$ .

$\frac{10 x^{3} + 1}{15 x^{3}}$