# How do you solve 1/2+ 4/27= t/18?

Jul 2, 2016

$t = 13$

#### Explanation:

To solve $\frac{1}{2} + \frac{4}{27} = \frac{t}{18}$

Begin by multiplying each of the terms by the common denominator $54$

$\left(54\right) \frac{1}{2} + \left(54\right) \frac{4}{27} = \left(54\right) \frac{t}{18}$

$27 \cancel{54} \frac{1}{\cancel{2}} + 3 \cancel{54} \frac{4}{\cancel{27}} = 3 \cancel{54} \frac{t}{\cancel{18}}$

$27 + 12 = 3 t$

$39 = 3 t$

$\frac{39}{3} = \frac{t}{\cancel{3}} \cancel{3}$

$13 = t$