If you're seeing this message, it means we're having trouble loading external resources on our website.

If you're behind a web filter, please make sure that the domains *.kastatic.org and *.kasandbox.org are unblocked.

Main content

Fraction to decimal: 11/25

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

Want to join the conversation?

  • blobby green style avatar for user leislkhoo
    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
    (43 votes)
    Default Khan Academy avatar avatar for user
  • male robot hal style avatar for user LukeP0206
    im confused because i was doing the same division as him and i got 4 with a repeating bar is that right
    (8 votes)
    Default Khan Academy avatar avatar for user
  • primosaur tree style avatar for user 073907479
    Can't you just do 11/25=44/100=0.44
    (6 votes)
    Default Khan Academy avatar avatar for user
  • leaf green style avatar for user ASHTONL
    It's weird, all this was 10 years ago or a year ago. not many people are on here
    (4 votes)
    Default Khan Academy avatar avatar for user
  • ohnoes default style avatar for user Anthony
    We're no strangers to love
    You know the rules and so do I (do I)
    A full commitment's what I'm thinking of
    You wouldn't get this from any other guy
    I just wanna tell you how I'm feeling
    Gotta make you understand
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    We've known each other for so long
    Your heart's been aching, but you're too shy to say it (say it)
    Inside, we both know what's been going on (going on)
    We know the game and we're gonna play it
    And if you ask me how I'm feeling
    Don't tell me you're too blind to see
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    We've known each other for so long
    Your heart's been aching, but you're too shy to say it (to say it)
    Inside, we both know what's been going on (going on)
    We know the game and we're gonna play it
    I just wanna tell you how I'm feeling
    Gotta make you understand
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    Never gonna give you up
    Never gonna let you down
    Never gonna run around and desert you
    Never gonna make you cry
    Never gonna say goodbye
    Never gonna tell a lie and hurt you
    (4 votes)
    Default Khan Academy avatar avatar for user
  • old spice man green style avatar for user RAWR
    RAWRRRR this mad confusing twin ii should probably not sleep ion math it just gets boring
    (3 votes)
    Default Khan Academy avatar avatar for user
  • aqualine ultimate style avatar for user levi.marske
    thank you that is my b-day
    (4 votes)
    Default Khan Academy avatar avatar for user
  • starky seed style avatar for user Zayonna
    how can you reduce the decimal??
    (2 votes)
    Default Khan Academy avatar avatar for user
  • mr pink red style avatar for user Frankie
    Help I'm trapped doing this doodie
    (3 votes)
    Default Khan Academy avatar avatar for user
  • starky seed style avatar for user SHAKUR
    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)
    Default Khan Academy avatar avatar for user

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.