Chapter 3.4, Problem 1BGP

To determine

The Simplified form of $2\frac{1}{2}$ _.

Answer to Problem 1BGP

  $2\frac{1}{2}=2.5$

Explanation of Solution

First method Any value in the form of $x\frac{y}{z}$  can be written as sum of x and $\frac{y}{z}$

  $\begin{array}{l}2\frac{1}{2}=2+\frac{1}{2}\\ 2\frac{1}{2}=2+0.5\\ 2\frac{1}{2}=2.5\end{array}$

Second method

  $\begin{array}{l}2\frac{1}{2}=\frac{2\times 2+1}{2}\\ =\frac{5}{2}\\ 2\frac{1}{2}=2.5\end{array}$

Conclusion:

Therefore, the value for $2\frac{1}{2}$ is $2.5$  .