# What is 8 1/4 - 3 2/3?

Dec 8, 2016

$\frac{55}{12}$

#### Explanation:

First we need to turn these mixed fractions and turn them into improper fractions:

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

$\left(\frac{32}{4} + \frac{1}{4}\right) - \left(\frac{9}{3} + \frac{2}{3}\right)$

$\frac{33}{4} - \frac{11}{3}$

Now we need to get each of these fractions over a common denominator so we can subtract the numerators by multiplying each by the necessary form of $1$. The common denominator in this case can be $12 \to 3 x 4$.

$\left(\frac{3}{3} \cdot \frac{33}{4}\right) - \left(\frac{4}{4} \cdot \frac{11}{3}\right)$

$\frac{99}{12} - \frac{44}{12}$

$\frac{99 - 44}{12}$

$\frac{55}{12}$