Question

180 euros to the uk exchange rate was €1.2 to £1 how much did he get in £ sterling

Answer 1

Amount in £ is: 180 / 1.2 = £150

Answer 2

Here you can use proportion:

The ratio betwen €1.2 to £1

is the same as the ratio between €180 to £x

Mathematically this means that

$\dfrac{1.2}{180} =\dfrac{1}{x}$.

Now

$1.2\cdot x=180\cdot 1\\\\ x=\dfrac{180}{1.2} \\ \\x=150$

Answer: €180 is £150