Answer
Estimated answer = 44
Exact answer = $43\frac{2}{3}$
Work Step by Step
$24\frac{5}{6}$ + $18\frac{5}{6}$
Estimation:
$24\frac{5}{6}\approx 25$
$18\frac{5}{6} \approx 19$
Therefore
$24\frac{5}{6}$ + $18\frac{5}{6}$ $\approx$ 25 + 19 = 44
Exact Calculation:
$24\frac{5}{6}$ + $18\frac{5}{6}$
= $24$ + $18$ + $\frac{5}{6}$ + $\frac{5}{6}$
(taking whole part separately and fractional part separately)
= $42$ + $\frac{5 + 5}{6}$
= $42$ + $\frac{10}{6}$
= $42$ + $\frac{6 + 4}{6}$
= $42$ + $\frac{6}{6} + \frac{4}{6} $
= 42 + 1 + $\frac{2}{3}$
= $43\frac{2}{3}$
The estimate was 44, so the exact answer of $43\frac{2}{3}$
is reasonable.
