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Rewriting decimals as fractions: 0.8

Sal converts 0.8 to a fraction. Created by Sal Khan.

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  • blobby green style avatar for user Obiageli Nkeo
    convert decimal to fractions .527
    (3 votes)
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  • leaf red style avatar for user The lady DeadPool
    How would covert 0.28 into a fraction?
    (4 votes)
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    • old spice man green style avatar for user Elijah Daniels
      0.28 is equal to 28/100. sense 8 is in the hundreds place.
      Then you simply simplify the answer! (If it can be simplified)
      28/100 = 14/50 because 28 divided by 2 is 14, and 100 divided by 2 = 50.
      14/50 = 7/25 beause 14 divided by 2 = 7, and 50 divided by 2 = 25.
      7 and 25 don't have anything in common, so 7/25 is as simple as it gets.
      0.28 = 7/25, or 28/100.
      (2 votes)
  • blobby green style avatar for user Kashif Afzaal
    if we do this opposite <means> for example 6/10 so how
    (4 votes)
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    • female robot grace style avatar for user rgbausum
      6/10 would be 0.6

      0.6 is 6 tenths, a way to remember how to figure it out is to say it. If you see 6/10 you would say "six over ten" or "six tenths". If you see 0.6, the six is in the tenths place and you would say "six tenths".

      This also works for hundredths. 26/100 = 0.26. 26/100 "twenty-six over a hundred" or "twenty six hundredths". For 0.26, "6" is in the hundreths place, "2" is in the tenths place, but if you read it as "26" together you would read it as being in the hundredths place "twenty-six hundredths".

      Hope this helps :-)
      (2 votes)
  • starky seedling style avatar for user williamsari
    it doesn't make sense how it's the same number
    (3 votes)
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    • hopper cool style avatar for user Iron Programming
      A number is simply something representing how much of something we have.

      There are different ways of writing numbers, and we give different names to different things.
      A fraction is a number written as a part-to-whole relationship, with a numerator (top part) and a denominator (bottom part).
      A decimal is written in our standard base-10 number style, with numbers after the decimal representing fractions of the whole.


      If you have a rational decimal that doesn't go on for ever, then the easiest way to solve for it is by multiplying by 10 in the denominator and numerator until we get a whole number in the numerator.

      Enough talk, let's get through some examples!
      The decimal 0.8 can be written as 0.8/1 because anything divided by 1 is equal to itself.
      Step 1: 0.8 / 1
      Step 2: 0.8 = 0.8/1 = (0.8 * 10) / (1 * 10) // we can multiply the numerator and denominator by the same number and the value of our fraction won't change
      Step 3: 0.8 = 0.8/1 = (0.8 * 10) = (1 * 10) = 8/10 // multiply out
      Step 4: 8/10 = 4/5 // simplify fraction

      So, how can we test that these numbers are the same? Well we can divide them of course!
      4 divided by 5 = 0.8 (try it out on paper, and verify on a calculator!).

      Hope this helps,
      - Convenient Colleague
      (3 votes)
  • blobby green style avatar for user jasonbrandt83
    The icon on this video never turns blue. It always remains incomplete as if you never watched it even when you watch it all the way through.
    (3 votes)
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  • mr pink red style avatar for user Mystery
    Is this statement at always true?
    (3 votes)
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  • aqualine ultimate style avatar for user Sandeep Rai
    what is decimal
    (3 votes)
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  • winston baby style avatar for user Cecil Jett
    what's the decimal for 1/2
    (2 votes)
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  • aqualine ultimate style avatar for user Sebastian Shaffer
    is it possible to write 1/5 as a decimal
    (1 vote)
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  • purple pi teal style avatar for user Naomi Scott
    how do you convert a fraction to a percent and then round two digits to the right of the decimal?
    (1 vote)
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    • old spice man green style avatar for user coppernugget
      You need to remember that a fraction is really just a division problem. Divide the numerator by the denominator, and you will get the decimal equivalent to your original fraction. For example, 1/2 is the same as 1 divided by 2, which is 0.5. See, they're all different ways of saying the same thing. 1/2 = 1 divided by 2 = 0.5. This works with all fractions. Once you have it in decimal form, it's easy to change into a percent. All percent means is: how many hundredths ? The hundredths place is second after the decimal point. So 0.05 would be five one-hundredths, or 5%. 0.35 would be thirty-five one-hundredths, or 35 % As for the rounding, the rule is simple: go one place value less then what you want to round to, and round up or down, whichever one is appropriate. In your case, you wanted to round to the second place value to the right of the decimal; So just go to the third place past the decimal and round up or down, whichever one is appropriate. So 0.062 would be rounded down to 0.06, because 0.002 is closer 0.06 than 0.07.

      There are of course shortcuts for certain fractions, and I encourage you to explore this more.
      (2 votes)

Video transcript

Let's write 0.8 as a fraction. So 0.8, the 8 right over here is in the tenths place. It is the tenths place. So you could read this as 8 tenths. And we can write that literally as being equal to 8 tenths, or 8 over 10. And now we've already written it as a fraction, and if we want, we can simplify this down. Both 8 and 10 share common factors. They are both divisible by 2. So lets divide both the numerator and the denominator by 2. We are not changing the value of the fraction because we are dividing both the numerator and the denominator by the same thing. 8 divided by 2 is 4, 10 divided by 2 is 5, and we're done. 0.8 is the same thing as 8/10, which is the same thing as 4/5.