Question

lets find \\(\frac{2}{3} + \frac{1}{5}\\).
first write the addition with a common denominator.
then add.
\\(\frac{2}{3} + \frac{1}{5} = \frac{\square}{\square} + \frac{\square}{\square} = \frac{\square}{\square}\\)

Explanation:

Step1: Find common denominator

The least common denominator of 3 and 5 is 15.

Step2: Rewrite fractions

$\frac{2}{3} = \frac{2\times5}{3\times5} = \frac{10}{15}$, $\frac{1}{5} = \frac{1\times3}{5\times3} = \frac{3}{15}$

Step3: Add the fractions

$\frac{10}{15} + \frac{3}{15} = \frac{10+3}{15}$

Answer:

$\frac{2}{3} + \frac{1}{5} = \frac{10}{15} + \frac{3}{15} = \frac{13}{15}$