Question

Select all of the fractions that are terminating decimals *

3/8
5/6
4/5
2/7
3/4

Answer 1

`(3)/(8),(4)/(5),(3)/(4)` are all terminating decimals

Explanation:

Terminating decimals are decimals that stop at certain point after you divide the numerator by the denominator in a fraction. Decimals that do not terminate (stop) will either show a pattern of repetition, such as 0.66666..., or they will neither stop or show a pattern and simply go on and on, such as 0.7568422902376...

In order to determine if each of the fractions given is terminating, you would need to divide each numerator by the given denominator:

`(3)/(8)=0.375 (terminating)`

`(5)/(6)=0.833...`

`(4)/(5)=0.8(terminating)`

`(2)/(7)=0.285...`

`(3)/(4)=0.75(terminating)`