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Current time:0:00Total duration:2:11

Converting decimals to fractions 2 (ex 2)

Video transcript

let's see if we can write 12-point 0.98 as a mixed number so the first thing you might want to realize here is that this is the exact same thing as 12 plus 0.98 and this simplifies it because then we just have to write it as 12 and some fraction that's the same thing as 0.98 so if we can write 0.98 as a fraction then we could we're essentially we're almost done so let's see if we can do that so this 9 right over here is in the tenths place I'll just write it like that tenths place and this right over here is in the hundredths place it's in the hundreds place so you could view 0.98 two different ways you could view it as 9/10 9/10 that's this part right over here 9/10 plus plus 8 hundredths plus 8 hundredths and if you want to find a common denominator that would be the same thing as 90 over 100 plus 8 over 100 plus 8 over 100 which is equal to 98 over 100 equal to 98 over 100 and so 9 0.98 is 98 hundreds and another way you could have said that is look this space right over here is in the hundreds place and so this is 98 hundredths or 9800 so you could have skipped this right over here so if we just wanted to write it as a mixed number we could just write it as 1212 and instead of 0.98 12 and 98 hundredths now we have introduced this to lowest terms yet so let's see if we can simplify this 98 is divisible by 2 and so is 100 so let's divide both of them by 2 they have that common factor so we're going to divide both of them by 2 and so this is the same thing as 12 and 98 divided by 2 is 49 100 divided by 2 is 50 and I think that's about as far as we can do 49s factors it's divisible by 7 but 50 isn't so we've put it in lowest terms so 12 point 9 8 can be written as a mixed number 12 and 49 50 it's