Chapter 11, Problem 20QC

To determine

To find: The sum of the given numbers.

Answer to Problem 20QC

The sum of the numbers $=7\frac{1}{6}$

Explanation of Solution

Given information: Two numbers given $4\frac{1}{2}$ and $2\frac{2}{3}$ .

Calculation:

  $\begin{array}{l}4\frac{1}{2}+2\frac{2}{3}\\ =\frac{4\times 2+1}{2}+\frac{2\times 3+2}{3}\\ =\frac{9}{2}+\frac{8}{3}\\ =\frac{9\times 3}{2\times 3}+\frac{8\times 2}{3\times 2}\\ =\frac{27}{6}+\frac{16}{6}\\ =\frac{27+16}{6}\\ =\frac{43}{6}\\ =7\frac{1}{6}\end{array}$