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### Course: Staging content lifeboat>Unit 14

Lesson 26: Converting decimals to fractions

# Rewriting decimals as fractions: 0.8

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

## Want to join the conversation?

• How would covert 0.28 into a fraction?
• 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.
• convert decimal to fractions .527
• 527/1000
because the numbers to the right of the decimal reach the thousandths place, the number to the right of the decimal is over 1000
• what is 8/10 turned into adecimal
• The fraction 8/10 is 0.8 as a decimal because you divide 8 by 10. Hope that helps!
• it doesn't make sense how it's the same number
• 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
• A parent of a student found that the transcript of the video is not in English. It's a minor thing, but still hope can be fixed one day.
• If there are any problems, either post them in the tips and thanks or Report a problem. Thanks for finding this error and helping Khan Academy!
• if we do this opposite <means> for example 6/10 so how
• 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 :-)
• 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.
• oh that does that sometimes you just have to refresh the page after your done watching all of the video and it will be blue
• Okay, so if i have 0.2 its gonna end up being 1/5 right?
• Another way of writing 0.2 is 2/10, and that simplifies to 1/5 when you divide both the numerator and denominator by 2.
• Is this statement at always true?
• what is decimal

## 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.