# How do you solve and check your solution given c-3/5=5/6?

Mar 29, 2017

$c = \frac{43}{30}$

#### Explanation:

Given -

$c - \frac{3}{5} = \frac{5}{6}$

$c = \frac{5}{6} + \frac{3}{5} = \frac{25 + 18}{30} = \frac{43}{30}$

$c = \frac{43}{30}$

Check the solution

Substitute $c = \frac{43}{30}$ in the equation

$\frac{43}{30} - \frac{3}{5} = \frac{5}{6}$

$\frac{43 - 18}{30} = \frac{5}{6}$

$\frac{25}{30} = \frac{5}{6}$

$\frac{5}{6} = \frac{5}{6}$

Mar 29, 2017

$c = \frac{43}{30}$

#### Explanation:

$c - \frac{3}{5} = \frac{5}{6}$

Add $\frac{3}{5}$ to both sides:

$c = \frac{5}{6} + \frac{3}{5}$

$= \frac{25 + 18}{30}$

$= \frac{43}{30}$

Since $43$ is prime this fraction cannot be simplified.

Check:

Replace $c = \frac{43}{30}$ in original equation $\to \frac{43}{30} - \frac{3}{5}$ should equal $\frac{5}{6}$

$\frac{43}{30} - \frac{3}{5} = \frac{43 - 18}{30} = \frac{25}{30}$

$= \frac{5}{6}$

Hence our result is correct.