# How do you evaluate 1/2+3/6+4/8?

Mar 23, 2018

Bring everything to the lowest common denominator and you will find that the answer is $\frac{3}{2} = 1 \frac{1}{2} = 1.5$

#### Explanation:

The first thing is to simplify all the fractions before scaling them... if necessary.

The first fraction is in the simplest form possible already. The second one is not, since both the numerator and denominator are divisible by 3:

$\frac{3}{6} \times \frac{\frac{1}{3}}{\frac{1}{3}} = \frac{1}{2}$

The third fraction can also be simplified, since both the numerator and denominator are divisible by 4:

$\frac{4}{8} \times \frac{\frac{1}{4}}{\frac{1}{4}} = \frac{1}{2}$

Now our equation looks like this:

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

Since all three terms have the same denominator, we can add all three numerators directly:

$\frac{1}{2} + \frac{1}{2} + \frac{1}{2} = \frac{1 + 1 + 1}{2} = \textcolor{red}{\frac{3}{2}}$