Algebra Examples

$\frac{4}{25 x^{3}} + \frac{1}{5}$

Step 1

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

$\frac{4}{25 x^{3}} + \frac{1}{5} \cdot \frac{5 x^{3}}{5 x^{3}}$

Step 2

Write each expression with a common denominator of $25 x^{3}$ , by multiplying each by an appropriate factor of $1$ .

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Step 2.1

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

$\frac{4}{25 x^{3}} + \frac{5 x^{3}}{5 (5 x^{3})}$

Step 2.2

Multiply $5$ by $5$ .

$\frac{4}{25 x^{3}} + \frac{5 x^{3}}{25 x^{3}}$

Step 3

Combine the numerators over the common denominator.

$\frac{4 + 5 x^{3}}{25 x^{3}}$