Simplify 3/(5x^3)+1/2

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

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

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

To write $\frac{1}{2}$ as a fraction with a common denominator, multiply by $\frac{5 x^{3}}{5 x^{3}}$ .

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

Write each expression with a common denominator of $10 x^{3}$ , by multiplying each by an appropriate factor of $1$ .

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

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

Multiply $2$ by $5$ .

$\frac{3 \cdot 2}{10 x^{3}} + \frac{1}{2} \cdot \frac{5 x^{3}}{5 x^{3}}$

Multiply $\frac{1}{2}$ by $\frac{5 x^{3}}{5 x^{3}}$ .

$\frac{3 \cdot 2}{10 x^{3}} + \frac{5 x^{3}}{2 (5 x^{3})}$

Multiply $5$ by $2$ .

$\frac{3 \cdot 2}{10 x^{3}} + \frac{5 x^{3}}{10 x^{3}}$

Combine the numerators over the common denominator.

$\frac{3 \cdot 2 + 5 x^{3}}{10 x^{3}}$

Multiply $3$ by $2$ .

$\frac{6 + 5 x^{3}}{10 x^{3}}$