Simplify 8/(x^2)+1/(10y)

$\frac{8}{x^{2}} + \frac{1}{10 y}$

To write $\frac{8}{x^{2}}$ as a fraction with a common denominator, multiply by $\frac{10 y}{10 y}$ .

$\frac{8}{x^{2}} \cdot \frac{10 y}{10 y} + \frac{1}{10 y}$

To write $\frac{1}{10 y}$ as a fraction with a common denominator, multiply by $\frac{x^{2}}{x^{2}}$ .

$\frac{8}{x^{2}} \cdot \frac{10 y}{10 y} + \frac{1}{10 y} \cdot \frac{x^{2}}{x^{2}}$

Write each expression with a common denominator of $10 y x^{2}$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{8}{x^{2}}$ by $\frac{10 y}{10 y}$ .

$\frac{8 (10 y)}{x^{2} (10 y)} + \frac{1}{10 y} \cdot \frac{x^{2}}{x^{2}}$

Multiply $\frac{1}{10 y}$ by $\frac{x^{2}}{x^{2}}$ .

$\frac{8 (10 y)}{x^{2} (10 y)} + \frac{x^{2}}{10 y x^{2}}$

Reorder the factors of $x^{2} (10 y)$ .

$\frac{8 (10 y)}{10 x^{2} y} + \frac{x^{2}}{10 y x^{2}}$

Reorder the factors of $10 y x^{2}$ .

$\frac{8 (10 y)}{10 x^{2} y} + \frac{x^{2}}{10 x^{2} y}$

Combine the numerators over the common denominator.

$\frac{8 (10 y) + x^{2}}{10 x^{2} y}$

Multiply $8$ by $10$ .

$\frac{80 y + x^{2}}{10 x^{2} y}$