# What number do we need to divide 2 by to get 90 as our solution?

Let say that $a$ is the number we are looking then

$\frac{2}{a} = 90$

Hence

$a \cdot \frac{2}{a} = a \cdot 90$

$2 = 90 \cdot a$

$a = \frac{2}{90}$

So we verify that our result is the correct one

$\frac{2}{\frac{2}{90}} = \frac{90 \cdot 2}{2} = 90$

Jan 27, 2018

Call the number we want to find '$x$', then:

$\frac{2}{x} = 90$

Multiply both sides by $x$, then divide both sides by $90$, and we have:

$x = \frac{2}{90} = \frac{1}{45} \cong 0.0222$