Rewriting decimals as fractions: 0.36

let's see if we can write 0.36 as a fir action as a fraction and there are several ways of doing it the way I like to do it is to say well 0.36 this is the same thing as 36 hundredths or one way to think about it is this is in the hundreds place hundreds hundreds place this is in the tens place or you could view this as 30 hundredths you could view this as three tenths or thirty hundreds so we could say that this is the same thing as thirty six hundredths or this is equal to thirty six over one hundred we've already expressed it as a fraction but now we could actually simplify it because both 36 and one-hundred have some common factors they are both divisible by well looks like they're both divisible by four so if we could divide the numerator by 4 and the denominator by 4 we get we're doing the same thing to both so we're not changing the value of the fraction 36 divided by 4 is 9 and then 100 divided by 4 is 25 and now these two characters don't seem to share any other common factors and so we've written it we've written it in simplified form and we're done