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Lesson 1: Converting fractions to decimals

# Fraction to decimal: 11/25

Sal writes 11/25 as a decimal. Created by Sal Khan.

## Want to join the conversation?

• when you say to round it up or down and you do it in a test and they want a specific answer will they mark your answer wrong
• it depends. mostly they do want it pacific but in some cases it's fine. go with your gut or watch more videos. still don't know? ask a parent.
• Can't you just do 11/25=44/100=0.44
• That is a good method! but usually in the beginning, you want to do it how he did it because sometimes the numbers won't be even like that.
• RAWRRRR this mad confusing twin ii should probably not sleep ion math it just gets boring
• It's weird, all this was 10 years ago or a year ago. not many people are on here
• change the way the comments are sorted from "top voted" to "recent" :)
• im confused because i was doing the same division as him and i got 4 with a repeating bar is that right
• thank you that is my b-day
• i been watching this for 2 hours i still dont get it
• All you do is divide the numerator and denominator or use a calculator
• im confused @0@ on all of this
• how can you reduce the decimal??
• It means simplify the fraction. Like 4/6 = 2/3
• Help I'm trapped doing this doodie
• I don’t understand.

## Video transcript

Let's see if we can write the fraction 11 over 25, or we could call 11/25, to see if we can write that as a decimal. And we're going to round it to the nearest thousandths place. And so another way of viewing this is 11 over 25, this is the same thing as 11 divided by 25. So we can literally divide 25 into 11, and whatever we get, that is going to be the decimal representation of 11/25. And since we're going to go into the places less than the ones place, we're going to go into the tenths place, the hundredths place, and the thousandths place, let's add some zeroes to this 11 right over here after the decimal, and now let's start to divide. 25 doesn't go into 1. 25 doesn't go into 11. 25 does go into 110. So 25 goes into 110 four times. 4 times 25 is 100. So it goes into it four times. Let's keep the decimal up here. So we'll write 0.4. 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 four times. 4 times 25 is 100, and then you subtract, and you get 0. So we actually didn't even have to round this one. This fraction is exactly 0.44.