# If 5t:9 = 1:2, find t.

## Question:

If {eq}\, 5t:9 = 1:2 \, {/eq}, find {eq}t {/eq}.

## Ratio

A ratio is a way of expressing quantities in which we try to convey how much of one quantity contains another. A ratio can be converted to a fraction and then calculations on such ratios can be performed easily.

The value of t is found as follows.

\begin{align} &5t:9 = 1:2\\ &\frac{5t}{9}=\frac{1}{2}&&&&\left [ a:b=\frac{a}{b} \right ]\\ &10t=9\\ &t=\frac{10}{9}\\ \end{align}