# How do you add 1 1/4+1 1/2?

Dec 9, 2016

$\frac{11}{4}$

#### Explanation:

Step 1) Convert the mixed fractions into improper fractions:

$\left(\left(\frac{4}{4}\right) \cdot 1 + \frac{1}{4}\right) + \left(\left(\frac{2}{2}\right) \cdot 1 + \frac{1}{2}\right)$

$\left(\frac{4}{4} + \frac{1}{4}\right) + \left(\frac{2}{2} + \frac{1}{2}\right)$

$\frac{5}{4} + \frac{3}{2}$

Step 2) Get both fractions over a common denominator (in this case $4$) by multiplying the second fraction by the necessary form of $1$:

$\frac{5}{4} + \left(\left(\frac{2}{2}\right) \left(\frac{3}{2}\right)\right)$

$\frac{5}{4} + \frac{6}{4}$

$\frac{11}{4}$