Answer
Estimate: 16 - 12 = 4;
Exact: $4\frac{11}{15}$
Work Step by Step
$16\frac{2}{5}-11\frac{2}{3}$
Lets first Find Estimate of fraction:
$16\frac{2}{5}$ = 16 and $11\frac{2}{3}$=12
$16\frac{2}{5}-11\frac{2}{3}$ = 16 - 12 = 4
Now find Exact:
$16\frac{2}{5}-11\frac{2}{3}$
= $\frac{16\times5+2}{5}-\frac{11\times3+2}{3}$
= $\frac{82}{5}-\frac{35}{3}$
= $\frac{82\times3}{5\times3}-\frac{35\times5}{3\times5}$ (Least common multiple of 5 & 3 is 15)
= $\frac{246}{15}-\frac{175}{15}$
= $\frac{246-175}{15}$ (Addition of fraction with same denominator)
= $\frac{71}{15}$
= $4\frac{11}{15}$
