Question

solve $21\frac{3}{5} + 17\frac{1}{4}$

Explanation:

Step1: Convert mixed numbers to improper fractions

$21\frac{3}{5} = \frac{21\times5 + 3}{5} = \frac{108}{5}$
$17\frac{1}{4} = \frac{17\times4 + 1}{4} = \frac{69}{4}$

Step2: Find common denominator (20)

$\frac{108}{5} = \frac{108\times4}{5\times4} = \frac{432}{20}$
$\frac{69}{4} = \frac{69\times5}{4\times5} = \frac{345}{20}$

Step3: Add the fractions

$\frac{432}{20} + \frac{345}{20} = \frac{432+345}{20} = \frac{777}{20}$

Step4: Convert to mixed number (optional)

$\frac{777}{20} = 38\frac{17}{20}$

Answer:

$38\frac{17}{20}$ or $\frac{777}{20}$