Answer
Estimate: $8+5=13$
Exact: $12\frac{1}{2}$
Work Step by Step
$7\frac{2}{3}+4\frac{5}{6}$
Lets first Find Estimate of fraction:
$7\frac{2}{3}$ = 8 and $4\frac{5}{6}$=5
So $7\frac{2}{3}+4\frac{5}{6}$ = 8 + 5 = 13
Now find Exact:
$7\frac{2}{3}+4\frac{5}{6}$
= $\frac{7\times3+2}{3}+\frac{4\times6+5}{6}$
= $\frac{23}{3}+\frac{29}{6}$
= $\frac{23\times2}{3\times2}+\frac{29}{6}$ (Least common multiple of 3 & 6 is 6)
= $\frac{46}{6}+\frac{29}{6}$
= $\frac{46+29}{6}$ (Addition of fraction with same denominator)
= $\frac{75}{6}$
= $12\frac{3}{6}$
= $12\frac{1}{2}$
