Rewriting decimals as fractions: 0.8

Learn this with friends

Maths4th grade math0:532 check-ins

About this video

The video writes 0.8 as a fraction. Because the 8 is in the tenths place, 0.8 is 8/10, and dividing the numerator and denominator by 2 simplifies it to 4/5.

You'll be able to

  • read a decimal in tenths, like 0.8 as 8 tenths.
  • write a tenths decimal as a fraction over 10.
  • simplify a fraction by dividing the top and bottom by the same number.

Key words

tenths place
The first place after the decimal point; it tells how many tenths.
numerator
The top number of a fraction.
denominator
The bottom number of a fraction.
common factor
A number that divides evenly into two numbers, like 2 for 8 and 10.
simplify
Rewrite a fraction with smaller numbers without changing its value.
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.

Video © Khan Academy, used under CC BY-NC-SA. Watch on Khan Academy. Puzzicle is not affiliated with Khan Academy.