Question

3 1/4+(- 2 1/2)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{1}{4}=\frac{3\times4 + 1}{4}=\frac{13}{4}$ and $2\frac{1}{2}=\frac{2\times2+1}{2}=\frac{5}{2}$. The expression becomes $\frac{13}{4}+(-\frac{5}{2})$.

Step2: Make the denominators the same

The common denominator of 4 and 2 is 4. So, $-\frac{5}{2}=-\frac{5\times2}{2\times2}=-\frac{10}{4}$.

Step3: Add the fractions

$\frac{13}{4}+(-\frac{10}{4})=\frac{13 - 10}{4}=\frac{3}{4}$

Answer:

$\frac{3}{4}$