# How do you solve (4g)/14 - 3/7 -g/14 = 3/14?

Aug 4, 2016

$g = 3$

#### Explanation:

$4 \frac{g}{14} - \frac{3}{7} - \frac{g}{14} = \frac{3}{14}$
or
$4 \frac{g}{14} - \frac{6}{14} - \frac{g}{14} = \frac{3}{14}$
or
$3 \frac{g}{14} = \frac{9}{14}$
or
$3 g = 9$
or
$g = \frac{9}{3}$
or
$g = 3$

Aug 4, 2016

There is a trick to this that makes it simpler

$g = 3$

#### Explanation:

Make the denominators (bottom numbers) all the same giving

$\frac{4 g}{14} - \frac{6}{14} - \frac{g}{14} = \frac{3}{14}$

As all the denominators (bottom numbers) are now the same so now all we need to do is consider the numerators (top numbers).

$4 g - 6 - g = 3$

$3 g = 9$

$g = 3$