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# Rewriting decimals as fractions: 0.15

CCSS.Math:

## Video transcript

let's see if we can write 0.15 as a fraction so the important thing here is to look at where what place these digits are in so this one right over here this is in the tenths place so it's you could view that as 1 times 1/10 this 5 right over here is in the hundredths place so you could view that as 5 times 1 over 100 so if I were to rewrite this I can rewrite this as a sum of this one represents 1 times 1/10 so that little be 1/10 plus and this five represents five times one hundredths so it would be plus five hundredths plus five hundredths and if we want to add them up we want to find a common denominator the common denominator is 100 both 10 and they're the least common multiple of both 100 multiple of both 10 and 100 so we can rewrite this as something over 100 plus something over 100 plus something over 100 this isn't going to change this was already 5 over 100 if we multiplied the denominator here by 10 that's what we did we multiplied it by 10 then we have to multiply this numerator by 10 and so this is the same thing as 10 over 100 and now we're ready to add this is the same thing as 10 plus 5 is 15 over 100 and you could have done that a little bit quicker just by inspecting this you would say look my smallest place right over here is in the hundreds place instead of calling this 1/10 I could call this literally 10 hundredths or I could say this whole thing is 1500s 1500s and now if I want to reduce this to lowest terms we can let's see both the numerator and the denominator is divisible by 5 so let's divide them both by 5 and so the numerator 15 divided by 5 is 3 the denominator 100 divided by 5 is 20 and that's about as simplified as we can get