Question

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

Explanation:

Step1: Find a common denominator

The denominators are 3 and 5, so the common denominator is $3\times5 = 15$. Rewrite the fractions:
$\frac{1}{3}y=\frac{1\times5}{3\times5}y=\frac{5}{15}y$
$\frac{2}{5}y=\frac{2\times3}{5\times3}y=\frac{6}{15}y$

Step2: Add the fractions

Now add the two terms:
$\frac{5}{15}y+\frac{6}{15}y=\frac{5 + 6}{15}y=\frac{11}{15}y$

Answer:

$\frac{11}{15}y$