Question

what is the sum?
$\frac{2}{x^{2}}+\frac{4}{x^{2}}$
$\frac{6}{x^{2}}$
$\frac{6}{x^{4}}$
$\frac{6}{2x^{2}}$
$\frac{8}{x^{2}}$

Explanation:

Step1: Identify like - denominators

The two fractions $\frac{2}{x^{2}}$ and $\frac{4}{x^{2}}$ have the same denominator $x^{2}$.

Step2: Add the numerators

When adding fractions with the same denominator, we add the numerators and keep the denominator. So, $\frac{2}{x^{2}}+\frac{4}{x^{2}}=\frac{2 + 4}{x^{2}}$.

Step3: Simplify the numerator

$2+4 = 6$, so $\frac{2 + 4}{x^{2}}=\frac{6}{x^{2}}$.

Answer:

$\frac{6}{x^{2}}$