Express the following as a fraction in simplest form :

12.725

We have:

12.725

There are 3 decimal places, so we remove the decimal point and divide by 1000.

$\phantom{=} 12.725 = \dfrac{12725}{1000} \\[1em] = \dfrac{509}{40} \quad \text{[Dividing both by 25]} \\[1em] = 12\dfrac{29}{40}$

∴ The answer is $12\dfrac{29}{40}$