# What is 18\frac{1}{2}-7\frac{3}{4}?

Oct 8, 2016

$\frac{43}{4} = 10 \frac{3}{4}$

#### Explanation:

$1.$ Convert the mixed fractions into improper fractions:

$18 \frac{1}{2} = \frac{37}{2}$

$7 \frac{3}{4} = \frac{31}{4}$

$2.$ Make sure both fractions have the same denominator

$18 \frac{1}{2} = \frac{37}{2} = \frac{74}{4}$

Now we can subtract the fractions:

$\frac{74}{4} - \frac{31}{4} = \frac{43}{4} = 10 \frac{3}{4}$