Question

10.2 - ad simplify. u\\(\frac{3}{x}+\frac{2}{5x}=\\)

Explanation:

Step1: Find common denominator

The common denominator of $x$ and $5x$ is $5x$. Rewrite $\frac{3}{x}$ with this denominator:
$\frac{3}{x} = \frac{3 \times 5}{x \times 5} = \frac{15}{5x}$

Step2: Add the fractions

Add the numerators over the common denominator:
$\frac{15}{5x} + \frac{2}{5x} = \frac{15 + 2}{5x}$

Step3: Simplify the numerator

Calculate the sum in the numerator:
$\frac{15 + 2}{5x} = \frac{17}{5x}$

Answer:

$\frac{17}{5x}$