# How do you solve and check your solution given 2/3=1/8+b?

Apr 17, 2017

$b = \frac{13}{24}$

#### Explanation:

Arrange the equation first:

$b = \left(\frac{2}{3}\right) - \left(\frac{1}{8}\right)$

Expand first number by 8 and second number by 3:

$b = \left(\frac{16}{24}\right) - \left(\frac{3}{24}\right)$

$b = \frac{16 - 3}{24}$

$b = \frac{13}{24}$

This is the solution. You can check it with a calculator (I do not go beyond third number in decimals here):

$\frac{2}{3} = 0.666$
$\frac{1}{8} = 0.125$
$b = 0.666 - 0.125$
$b = 0.541$
$\frac{13}{24} = 0.5416$