# What is the value of t in 9/4t = 3/16?

Feb 15, 2016

$t = \frac{1}{12}$

#### Explanation:

$\frac{9}{4} t = \frac{3}{16}$

Divide both sides by $\frac{9}{4}$

$\rightarrow \frac{9}{4} t \div \frac{9}{4} = \frac{3}{16} \div \frac{9}{4}$

$\rightarrow t = \frac{3}{16} \div \frac{9}{4}$

$\Rightarrow t = \frac{\cancel{3}}{16} \cdot \frac{4}{\cancel{9}} = \frac{1}{\cancel{16}} \cdot \frac{\cancel{4}}{3} = \frac{1}{4} \cdot \frac{1}{3} = \frac{1}{12}$