Simplify 2/(5x^3)+1/4

$\frac{2}{5 x^{3}} + \frac{1}{4}$

Step 1

To write $\frac{2}{5 x^{3}}$ as a fraction with a common denominator, multiply by $\frac{4}{4}$ .

$\frac{2}{5 x^{3}} \cdot \frac{4}{4} + \frac{1}{4}$

Step 2

To write $\frac{1}{4}$ as a fraction with a common denominator, multiply by $\frac{5 x^{3}}{5 x^{3}}$ .

$\frac{2}{5 x^{3}} \cdot \frac{4}{4} + \frac{1}{4} \cdot \frac{5 x^{3}}{5 x^{3}}$

Step 3

Write each expression with a common denominator of $20 x^{3}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{2}{5 x^{3}}$ by $\frac{4}{4}$ .

$\frac{2 \cdot 4}{5 x^{3} \cdot 4} + \frac{1}{4} \cdot \frac{5 x^{3}}{5 x^{3}}$

Multiply $4$ by $5$ .

$\frac{2 \cdot 4}{20 x^{3}} + \frac{1}{4} \cdot \frac{5 x^{3}}{5 x^{3}}$

Multiply $\frac{1}{4}$ by $\frac{5 x^{3}}{5 x^{3}}$ .

$\frac{2 \cdot 4}{20 x^{3}} + \frac{5 x^{3}}{4 (5 x^{3})}$

Multiply $5$ by $4$ .

$\frac{2 \cdot 4}{20 x^{3}} + \frac{5 x^{3}}{20 x^{3}}$

Step 4

Combine the numerators over the common denominator.

$\frac{2 \cdot 4 + 5 x^{3}}{20 x^{3}}$

Step 5

Multiply $2$ by $4$ .

$\frac{8 + 5 x^{3}}{20 x^{3}}$