Question

$2\frac{3}{5} + 2\frac{1}{2}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$2\frac{3}{5} = \frac{2\times5 + 3}{5} = \frac{13}{5}$, $2\frac{1}{2} = \frac{2\times2 + 1}{2} = \frac{5}{2}$

Step2: Find common denominator (10)

$\frac{13}{5} = \frac{13\times2}{5\times2} = \frac{26}{10}$, $\frac{5}{2} = \frac{5\times5}{2\times5} = \frac{25}{10}$

Step3: Add the fractions

$\frac{26}{10} + \frac{25}{10} = \frac{26+25}{10} = \frac{51}{10}$

Step4: Convert to mixed number (optional)

$\frac{51}{10} = 5\frac{1}{10}$

Answer:

$\frac{51}{10}$ or $5\frac{1}{10}$