Question

(\frac{2}{5} + \frac{1}{2})

Explanation:

Step1: Find a common denominator

The denominators are 5 and 2, so the least common denominator is \( 5\times2 = 10 \).
Rewrite the fractions: \( \frac{2}{5}=\frac{2\times2}{5\times2}=\frac{4}{10} \), \( \frac{1}{2}=\frac{1\times5}{2\times5}=\frac{5}{10} \)

Step2: Add the numerators

Add the two fractions with the common denominator: \( \frac{4}{10}+\frac{5}{10}=\frac{4 + 5}{10}=\frac{9}{10} \)

Answer:

\( \frac{9}{10} \)