Answer
Estimated answer = 26
Exact answer = $25\frac{7}{24}$
Work Step by Step
$18\frac{5}{8}$ + $6\frac{2}{3}$
Estimation:
$18\frac{5}{8}\approx 19$
$6\frac{2}{3} \approx 7$
Therefore
$18\frac{5}{8}$ + $6\frac{2}{3}$ $\approx$ 19 + 7 = 26
Exact Calculation:
$18\frac{5}{8}$ + $6\frac{2}{3}$
= $18\frac{5\times3}{8\times3}$ + $6\frac{2\times8}{3\times8}$
(24 is the least common denominator)
= $18\frac{15}{24}$ + $6\frac{16}{24}$
= $18$ + $6$ + $\frac{15}{24}$ + $\frac{16}{24}$
(Adding whole part separately and fractional part separately)
= $24$ + $\frac{15 + 16}{24}$
= $24$ + $\frac{31}{24}$
= $24$ + $\frac{24 + 7}{24}$
= $24$ + $\frac{24}{24} + \frac{7}{24} $
= 24 + 1 + $\frac{7}{24}$
= $25\frac{7}{24}$
The estimate was 26, so the exact answer of $25\frac{7}{24}$
is reasonable.
