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## 7th grade

### Course: 7th grade > Unit 2

Lesson 2: Converting fractions to decimals- Rewriting decimals as fractions: 2.75
- Rewriting decimals as fractions challenge
- Worked example: Converting a fraction (7/8) to a decimal
- Fraction to decimal: 11/25
- Fraction to decimal with rounding
- Converting fractions to decimals
- Comparing rational numbers
- Order rational numbers

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# 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(46 votes)
- 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.(6 votes)

- Can't you just do 11/25=44/100=0.44(8 votes)
- ik thats what i doo instead of this long thing(1 vote)

- im confused because i was doing the same division as him and i got 4 with a repeating bar is that right(8 votes)
- It's weird, all this was 10 years ago or a year ago. not many people are on here(5 votes)
- change the way the comments are sorted from "top voted" to "recent" :)(5 votes)

- RAWRRRR this mad confusing twin ii should probably not sleep ion math it just gets boring(5 votes)
- thank you that is my b-day(5 votes)
- how can you reduce the decimal??(2 votes)
- It means simplify the fraction. Like 4/6 = 2/3(3 votes)

- Help I'm trapped doing this doodie(3 votes)
- I don’t understand.(1 vote)

- Alright; good video but, when a student rounds up/down on a math problem, most teachers will mark it inaccurate. Some teachers will want a
*very***SPECIFIC**answer. Yes, some teachers are pretty strict and want you to write the**ECXACT**answer that*they*have so*you*can be just like the teacher!*(well..maybe..)*(2 votes) - So why wouldn't you just divide 11/25?

Then you could just say 11 goes into 25 two times, with a remainder of three, and three would be the answer, right??(2 votes)- Because the subject is converting fractions to decimals. 2 times with remainder of three is not a decimal.(2 votes)

## 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.