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### Unit 10: Lesson 7

Writing decimals as fractions

# Rewriting decimals as fractions: 0.8

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

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• • • 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 :-)
• • 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
• 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. • Is this statement at always true? • • • • how do you convert a fraction to a percent and then round two digits to the right of the decimal?
(1 vote) • 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.