Answer
32$\frac{3}{8}$
Work Step by Step
18$\frac{5}{8}$ + 13$\frac{3}{4}$
Estimate : 18$\frac{5}{8}$ round to 19
13$\frac{3}{4}$ round to 14
So add 19+ 14= 33 is the estimate answer
Exact : 18$\frac{5}{8}$ + 13$\frac{3}{4}$
The least common multiple of 8 and 4 is 8. Rewrite both fractions as fractions with a least common denominator of 8.
Rewrite as like fraction
18$\frac{5}{8}$ + 13$\frac{3}{4}$= 18$\frac{5}{8}$ + 13$\frac{6}{8}$
Add : 18$\frac{5}{8}$ + 13$\frac{6}{8}$
Sum of the whole number is 31 and sum of the fraction is $\frac{11}{8}$
= 31$\frac{11}{8}$
The improper fraction $\frac{11}{8}$ is in lowest terms convert it into mixed fraction 1$\frac{3}{8}$, so the simplified sum is
31$\frac{11}{8}$ + 1$\frac{3}{8}$ = 32$\frac{3}{8}$