Question

Which of the following fractions are equivalent to 1/3?

Select all that apply.

Question 1 options:

6/18


9/36


25/75


19/57

Answer 1

A.
`(6)/(18)`

C.
`(25)/(75)`

D.
`(19)/(57)`

Explanation:

We want to determine which of the options will simplify to
`(1)/(3)`.

Let us first of all simplify all the given options, then we can select the ones that are equivalent to
`(1)/(3)`.

The first fraction is
`(6)/(18)`.

This is the same as
`(6)/(3* 6)`.

We cancel the common factor to obtain;

`(1)/(3)`

For the second option we have
`(9)/(36)=(9)/(9* 4)=(1)/(4)`.

For the third option we have
`(25)/(75)=(25)/(3*25)=(1)/(3)`

For the fourth option we have
`(19)/(57)=(19)/(3* 19)=(1)/(3)`

Therefore the correct options are

A.
`(6)/(18)`

C.
`(25)/(75)`

D.
`(19)/(57)`