Question

How do you convert 0.012 to a fraction?

Answer 1

`3/250`

Explanation:

Lets start by using the simplest fractional form we can think of. Decimals are a representation of factors of 10 - each place to the left of the decimal represents multiplying by 10 and each place to the right represents dividing by 10. Our number is the same as the following:

`0.012 = 0.12/10=1.2/100=12/1000`

We'll use the final fraction since it only has whole numbers in the numerator and denominator. Now we need to factor the top and bottom and cancel any common factors:

`12/1000=(4*3)/(10*10*10)=(cancel(2)*cancel(2)*3)/(cancel(2)*5*cancel(2)*5*2*5)=3/(5*5*2*5)=3/250`