# What is the simplified value of 3/12 - 1/8 + 5/6 ?

May 4, 2016

$\frac{3}{12} - \frac{1}{8} + \frac{5}{6} = \frac{23}{24}$

#### Explanation:

To simplify $\frac{3}{12} - \frac{1}{8} + \frac{5}{6}$, we need to bring them to common .denominator. As the Least Common Denominator of $\left\{12 , 8 , 6\right\}$ is $24$. doing so we get

$\frac{3}{12} - \frac{1}{8} + \frac{5}{6}$

= $\frac{3 \times 2}{2 \times 12} - \frac{1 \times 3}{8 \times 3} + \frac{5 \times 4}{6 \times 4}$

= $\frac{6}{24} - \frac{3}{24} + \frac{20}{24}$

= $\frac{6 - 3 + 20}{24}$

= $\frac{23}{24}$