# How do you solve u/5 + u/10 - u/6 = 1?

Apr 16, 2016

$u = \frac{15}{2} \mathmr{and} 7.5$

#### Explanation:

We can solve this by putting everything on the left side on a common denominator. If you need me to explain how to do this, feel free to say so

$\frac{u}{5} + \frac{u}{10} - \frac{u}{6} = 1$
$\frac{6 u}{30} + \frac{3 u}{30} - \frac{5 u}{30} = 1$
$\frac{4 u}{30} = 1$

Now that we have this, its a matter of multiplying and dividing to get $u$ by itself on one side:

$4 u = 30$
$u = \frac{30}{4}$
$u = \frac{15}{2} \mathmr{and} 7.5$