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# Fraction to decimal: 11/25

CCSS.Math:

## Video transcript

let's see if we can write the fraction 11 over 25 or we could call it 11 25th to see if we can write that as a decimal and we're going to round it to the nearest thousands place and so another way of viewing this 11 over 25 this is the same thing as 11 divided by 25 so we can literally say we can literally divide 25 into 11 and whatever we get that is going to be the decimal representation of 11 25th and since we're going to go into the into the places less than the ones place we're going to go into the tenths place in the hundreds place and the thousands place let's add some zeros to this 11 right over here after the decimal and now let's start to divide 25 doesn't go into 125 doesn't go into 11 25 does go into 110 so when 25 goes into 110 4 times 2 4 times 25 is 100 so it goes into it 4 times let's keep the decimal up here so we'll write zero point 4 4 times 25 is 100 and now we can subtract 110 minus 100 is 10 and now we can bring down another 0 25 goes into 100 exactly 4 times 4 times 25 is 100 and then you subtract and you get zero so we actually didn't even have to round this one this fraction is exactly this is exactly zero point 4 4