Question

Anita took 1/6 of a cake and Barry took 60% of what remained. What fraction of original cake is left. Explain full method.

Answer 1

The cake = 1
1-1/6=5/6
60% as a fraction =3/5
5/6-3/5
25/30-18/30
7/30
There are 7/30 of the original cake left.

Hope this helps :)

Answer 2

Answer:
`(7)/(30)`

Explanation:

Given : Anita took 1/6 of a cake and Barry took 60% of what remained.

In fraction , The part taken by Barry = 60%=
`(60)/(100)=(3)/(5)`

Also, in fraction we take "1" as the whole part.

Then , the fraction of original cake is left is given by :-

`1-(1)/(6)-(3)/(5)\\\\=(30-5-3*6)/(30)\\\\=(25-18)/(30)\\\\=(7)/(30)`

Hence, the fraction of original cake is left. =
`(7)/(30)`