Chapter 1, Problem 6GR

Solution

To find: The sum of the $-2\frac{1}{3}+3\frac{1}{4}$ .

  $\frac{5}{4}$

Given information:

  $-2\frac{1}{3}+3\frac{1}{4}$

Calculation:

  $\begin{array}{l}\Rightarrow -2\frac{1}{3}+3\frac{1}{4}\left[\text{change fraction to improper}\right]\\ \Rightarrow -\frac{7}{3}+\frac{13}{4}\left[\text{make common denominator}\right]\\ \Rightarrow \frac{-24+39}{12}\left[\text{subtract the number}\right]\\ \Rightarrow \frac{15}{12}\left[\text{reduce the fraction}\right]\\ \Rightarrow \frac{5}{4}\end{array}$

Thus, the result is $\frac{5}{4}$ .