Question

what is $8\frac{3}{4}+5\frac{2}{5}$?\
$13\frac{3}{20}$ $13\frac{5}{9}$\
$14\frac{3}{20}$ $14\frac{1}{5}$

Explanation:

Step1: Add whole number parts

$8 + 5 = 13$

Step2: Find common denominator for fractions

Least common denominator of 4 and 5 is 20.

Step3: Convert fractions to like fractions

$\frac{3}{4} = \frac{3 \times 5}{4 \times 5} = \frac{15}{20}$
$\frac{2}{5} = \frac{2 \times 4}{5 \times 4} = \frac{8}{20}$

Step4: Add the like fractions

$\frac{15}{20} + \frac{8}{20} = \frac{23}{20}$

Step5: Simplify improper fraction

$\frac{23}{20} = 1\frac{3}{20}$

Step6: Add to whole number sum

$13 + 1\frac{3}{20} = 14\frac{3}{20}$

Answer:

$14\frac{3}{20}$