Answer
Estimated answer = 37
Exact answer = $36\frac{3}{4}$
Work Step by Step
$14\frac{9}{10}$ + $8\frac{1}{4} + 13\frac{3}{5}$
Estimation:
$14\frac{9}{10}\approx 15$
$8\frac{1}{4} \approx 8$
$13\frac{3}{5} \approx 14$
Therefore
$14\frac{9}{10}$ + $8\frac{1}{4} + 13\frac{3}{5}$ $\approx$ 15 + 8 + 14 = 37
Exact Calculation:
$14\frac{9}{10}$ + $8\frac{1}{4} + 13\frac{3}{5}$
= $14\frac{9\times2}{10\times2}$ + $8\frac{1\times5}{4\times5}$ + $13\frac{3\times4}{5\times4}$
(20 is the least common denominator)
= $14\frac{18}{20}$ + $8\frac{5}{20}$ + $13\frac{12}{20}$
= $14$ +$8$ + $13$ + $\frac{18}{20}$ + $\frac{5}{20}$ + $\frac{12}{20}$
(Adding whole parts separately and fractional parts separately)
= $35$ + $\frac{18 + 5 + 12}{20}$
= $35$ + $\frac{35}{20}$
= $35$ + $\frac{20 + 15}{20}$
= $35$ + $\frac{20}{20} + \frac{15}{20} $
= 35 + 1 + $\frac{3}{4}$
= $36\frac{3}{4}$
The estimate was 37, so the exact answer of = $36\frac{3}{4}$
is reasonable.
