Answer
Estimated answer = 53
Exact answer = $52\frac{1}{10}$
Work Step by Step
$33\frac{3}{5}$ + $18\frac{1}{2}$
Estimation:
$33\frac{3}{5}\approx 34$
$18\frac{1}{2} \approx 19$
Therefore
$33\frac{3}{5}$ + $18\frac{1}{2}$ $\approx$ 34 + 19 = 53
Exact Calculation:
$33\frac{3}{5}$ + $18\frac{1}{2}$
= $33\frac{3\times2}{5\times2}$ + $18\frac{1\times5}{2\times5}$
(10 is the least common denominator)
= $33\frac{6}{10}$ + $18\frac{5}{10}$
= $33$ + $18$ + $\frac{6}{10}$ + $\frac{5}{10}$
(Adding whole part separately and fractional part separately)
= $51$ + $\frac{6 + 5}{10}$
= $51$ + $\frac{11}{10}$
= $51$ + $\frac{10 + 1}{10}$
= $51$ + $\frac{10}{10} + \frac{1}{10} $
= 51 + 1 + $\frac{1}{10}$
= $52\frac{1}{10}$
The estimate was 53, so the exact answer of $52\frac{1}{10}$
is reasonable.
