Answer
Estimated answer = 11
Exact answer = $11\frac{1}{2}$
Work Step by Step
$7\frac{1}{3}$ + $4\frac{1}{6}$
Estimate Calculation:
$7\frac{1}{3} \approx 7$
$4\frac{1}{6} \approx 4$
Therefore
$7\frac{1}{3}$ + $4\frac{1}{6}$ $\approx$ 7 + 4 = 11
Exact Calculation:
$7\frac{1}{3}$ + $4\frac{1}{6}$
= $7\frac{2}{6}$ + $4\frac{1}{6}$
(6 is the least common denominator)
= $7$ + $4$ + $\frac{2}{6}$ + $\frac{1}{6}$
(adding whole part separately and fractional part separately)
= $11$ + $\frac{2 + 1}{6}$
= $11$ + $\frac{3}{6}$
= $11$ + $\frac{1}{2}$
= $11\frac{1}{2}$
The estimate was 11, so the exact answer of $11\frac{1}{2}$
is reasonable.
