Main content

## Arithmetic (all content)

### Unit 6: Lesson 4

Rewriting decimals as fractions- Write fractions as decimals (denominators of 10 & 100)
- Writing a number as a fraction and decimal
- Write decimals and fractions shown on grids
- Rewriting decimals as fractions: 0.15
- Rewriting decimals as fractions: 0.8
- Rewriting decimals as fractions: 0.36
- Write decimals as fractions
- Rewriting tricky fractions to decimals

© 2022 Khan AcademyTerms of usePrivacy PolicyCookie Notice

# Rewriting decimals as fractions: 0.8

CCSS.Math:

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

## 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.