Question

simplify.
\\(\frac{2}{3}a + \frac{1}{5}a\\)

Explanation:

Step1: Find a common denominator

The denominators are 3 and 5, so the common denominator is $3\times5 = 15$. Rewrite the fractions:
$\frac{2}{3}a=\frac{2\times5}{3\times5}a=\frac{10}{15}a$
$\frac{1}{5}a=\frac{1\times3}{5\times3}a=\frac{3}{15}a$

Step2: Add the fractions

Now add the two terms:
$\frac{10}{15}a+\frac{3}{15}a=\frac{10 + 3}{15}a=\frac{13}{15}a$

Answer:

$\frac{13}{15}a$