Answer
Estimated answer = 16
Exact answer = $15\frac{7}{8}$
Work Step by Step
$10\frac{1}{4}$ + $5\frac{5}{8}$
Estimate Calculation:
$10\frac{1}{4} \approx 10$
$5\frac{5}{8} \approx 6$
Therefore
$10\frac{1}{4}$ + $5\frac{5}{8}$ $\approx$ 10 + 6 = 16
Exact Calculation:
$10\frac{1}{4}$ + $5\frac{5}{8}$
= $10\frac{1\times2}{4\times2}$ + $5\frac{5}{8}$
(8 is the least common denominator)
= $10\frac{2}{8}$ + $5\frac{5}{8}$
= $10$ + $5$ + $\frac{2}{8}$ + $\frac{5}{8}$
(adding whole part separately and fractional part separately)
= $15$ + $\frac{2 + 5}{8}$
= $15$ + $\frac{7}{8}$
= $15\frac{7}{8}$
The estimate was 16, so the exact answer of $15\frac{7}{8}$
is reasonable.
