Answer
Estimated answer = 33
Exact answer = $33\frac{1}{8}$
Work Step by Step
$7\frac{1}{4}$ + $25\frac{7}{8}$
Estimation:
$7\frac{1}{4}\approx 7$
$25\frac{7}{8} \approx 26$
Therefore
$7\frac{1}{4}$ + $25\frac{7}{8}$ $\approx$ 7 + 26 = 33
Exact Calculation:
$7\frac{1}{4}$ + $25\frac{7}{8}$
= $7\frac{1\times2}{4\times2}$ + $25\frac{7}{8}$
(8 is the least common denominator)
= $7\frac{2}{8}$ + $25\frac{7}{8}$
= $7$ + $25$ + $\frac{2}{8}$ + $\frac{7}{8}$
(Adding whole parts separately and fractional parts separately)
= $32$ + $\frac{2 + 7}{8}$
= $32$ + $\frac{9}{8}$
= $32$ + $\frac{8 + 1}{8}$
= $32$ + $\frac{8}{8} + \frac{1}{8} $
= 32 + 1 + $\frac{1}{8}$
= $33\frac{1}{8}$
The estimate was 33, so the exact answer of $33\frac{1}{8}$
is reasonable.
