# How do you simplify 8/(3c)--5/(6d)?

Feb 18, 2017

$\frac{16 d + 5 c}{6 c d}$

#### Explanation:

Firstly, the two minus signs in the middle 'cancel out' to act as a plus sign. So the expression becomes $\frac{8}{3 c} + \frac{5}{6 d}$.

Then we can find a common denominator by find the LCM (lowest common multiple) of $3 c$ and $6 d$, which happens to be $6 c d$

Then we can add to get $\frac{8 \times 2 d}{3 c \times 2 d} + \frac{5 \times c}{6 d \times c}$

= $\frac{16 d}{6 c d} + \frac{5 c}{6 c d} = \frac{16 d + 5 c}{6 c d}$

So the answer is $\frac{16 d + 5 c}{6 c d}$