Question

Which of the following fractions is not equivalent to 1/3 ? (a) 5/15

(b) 6/18
(c) 4/12
(d) 7/20

Answer 1

7/20 is not equivalent to 1/3

6/18 =3*2/3*6 = 2/6 = 1/3

4/12 = 2*2/2*6 = 2/6 =1/3

5/15 =5*1/5*3 =1/3

Explanation:

Answer 2

Answer: option (d)

Explanation:

Our task is to find out which of these fractions is not equivalent (equal) to 1/3.

To determine that, I am going to simplify each of these fractions:

`\sf{\cfrac{5}{15}}`

Divide the top & bottom by 5:

`\sf{\cfrac{5/5}{15/5}}`

`\sf{\cfrac{1}{3}}`

So, option A is out!

---------------------------------------- Option B ---------------------------------------------------

`\sf{\cfrac{6}{18}}`

Divide the top & bottom by 6:

`\sf{\cfrac{6/6}{18/6}}`

`\sf{\cfrac{1}{3}}`

Two down, two to go! This one's also out.

---------------------------------------- Option C ---------------------------------------------------

`\sf{\cfrac{4}{12}}`

Divide the top & bottom by 4:

`\sf{\cfrac{4/4}{12/3}}`

`\sf{\cfrac{1}{3}}`

Let's take a look at option d.

---------------------------------------- Option D ---------------------------------------------------

`\sf{\cfrac{7}{20}}`

Unlike all of the fractions above, 7 and 20 have no common factors (except 1, and there's no point in dividing by 1!), so, this is the one that isn't equivalent to 1/3.

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