Chapter 1, Problem 5GR

Solution

To find: The sum of the $7\frac{3}{4}+\left(-8\frac{1}{2}\right)$ .

  $-\frac{3}{4}$

Given information:

  $7\frac{3}{4}+\left(-8\frac{1}{2}\right)$

Calculation:

  $\begin{array}{l}\Rightarrow 7\frac{3}{4}+\left(-8\frac{1}{2}\right)\left[\text{change the sign, +}\left(-\right)=-\right]\\ \Rightarrow 7\frac{3}{4}-8\frac{1}{2}\left[\text{change fraction to improper}\right]\\ \Rightarrow \frac{31}{4}-\frac{17}{2}\left[\text{make common denominator}\right]\\ \Rightarrow \frac{31-34}{4}\left[\text{subtract the number}\right]\\ \Rightarrow -\frac{3}{4}\end{array}$

Thus, the result is $-\frac{3}{4}$ .