# How do you solve 22/x=11/30?

$x = 60$

#### Explanation:

We can solve this a couple of different ways.

Let's first solve by cross multiplication:

$\frac{22}{x} = \frac{11}{30}$

$11 x = 30 \times 22$

$x = \frac{30 \times 22}{11} = \frac{30 \times {\cancel{22}}^{2}}{\cancel{11}} = 60$

We can also solve it by using a creative use of the number 1:

$\frac{22}{x} = \frac{11}{30} \left(1\right)$

$\frac{22}{x} = \frac{11}{30} \left(\frac{2}{2}\right)$

$\frac{22}{x} = \frac{22}{60}$

And so by observation we see $x = 60$