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 denominators are 3 and 5. The least common denominator (LCD) of 3 and 5 is \( 3\times5 = 15 \). Rewrite each fraction with denominator 15:
\( \frac{2}{3}=\frac{2\times5}{3\times5}=\frac{10}{15} \)
\( \frac{1}{5}=\frac{1\times3}{5\times3}=\frac{3}{15} \)

Step2: Add the fractions

Now add the two fractions with the common denominator:
\( \frac{10}{15}+\frac{3}{15}=\frac{10 + 3}{15}=\frac{13}{15} \)

Answer:

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