# How do you solve 1.1/1.2=n/3.6?

Dec 28, 2016

$n = 3.3$

#### Explanation:

When a fraction is equal to another fraction, we can solve using the method of $\textcolor{b l u e}{\text{cross-multiplication}}$

$\text{That is } \frac{\textcolor{b l u e}{1.1}}{\textcolor{red}{1.2}} = \frac{\textcolor{red}{n}}{\textcolor{b l u e}{3.6}}$

To solve, multiply the $\textcolor{red}{\text{red terms}}$ and the $\textcolor{b l u e}{\text{ blue terms}}$ together and equate them.

$\Rightarrow \textcolor{red}{1.2 n} = \textcolor{b l u e}{1.1} \times \textcolor{b l u e}{3.6}$

$\Rightarrow 1.2 n = 3.96$

To solve for n, divide both sides by 1.2

$\frac{\cancel{1.2 n}}{\cancel{1.2}} = \frac{3.96}{1.2}$

$\Rightarrow n = 3.3 \text{ is the solution}$