Question

Write the following decimals as fractions. Give your answer in its simplest form.

a) 0.6=
b) 0.025

Answer 1

`0.6=(6)/(10)=(3)/(5)\\ 0.025=(25)/(1000)=(1)/(40)`

Answer 2

`a)\ 0.\underbrace{6}_(tenth)=(6)/(10)=(6:2)/(10:2)=(3)/(5)\Rightarrow\boxed{0.6=(3)/(5)}\\\\\\b)\ 0.\underbrace{025}_(thousandth)=(25)/(1000)=(25:25)/(1000:25)=(1)/(40)\Rightarrow\boxed{0.25=(1)/(40)}`