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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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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.