# How do you evaluate 3/4 + 1/3 + 1/2?

Jun 6, 2018

$\implies \frac{19}{12}$

#### Explanation:

The fractions need to be expressed with a common denominator. There a few ways to obtain one, the easiest being to multiply all denominators together and multiplying each fraction by some expression equivalent to $1$, as this prevents the expression from changing.

$\frac{3}{4} + \frac{1}{3} + \frac{1}{2}$

$= \frac{3}{4} \cdot \frac{3}{3} \cdot \frac{2}{2} + \frac{1}{3} \cdot \frac{4}{4} \cdot \frac{2}{2} + \frac{1}{2} \cdot \frac{4}{4} \cdot \frac{3}{3}$

$= \frac{18}{24} + \frac{8}{24} + \frac{12}{24}$

$= \frac{38}{24}$

$= \frac{19}{12}$