Answer
Estimated answer = 5
Exact answer = $4\frac{5}{24}$
Work Step by Step
$\frac{5}{8}$ + $3\frac{7}{12}$
Estimate Calculation:
$\frac{5}{8} \approx 1$
$3\frac{7}{12} \approx 4$
Therefore
$\frac{5}{8}$ + $3\frac{7}{12}$ $\approx$ 1 + 4 = 5
Exact Calculation:
$\frac{5}{8}$ + $3\frac{7}{12}$
= $\frac{5\times3}{8\times3}$ + $3\frac{7\times2}{12\times2}$
(24 is the least common denominator)
= $\frac{15}{24}$ + $3\frac{14}{24}$
= $3$ + $\frac{15}{24}$ + $\frac{14}{24}$
(taking whole part separately and fractional part separately)
= $3$ + $\frac{15 + 14}{24}$
= $3$ + $\frac{29}{24}$
= $3$ + $\frac{24 + 5}{24}$
= $3$ + $\frac{24}{24} + \frac{5}{24} $
= 3 + 1 + $\frac{5}{24}$
= $4\frac{5}{24}$
The estimate was 5, so the exact answer of $4\frac{5}{24}$
is reasonable.
