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: $\dfrac{7}{30}$

Step-by-step explanation:

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

In fraction , The part taken by Barry = 60%=$\dfrac{60}{100}=\dfrac{3}{5}$

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

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

$1-\dfrac{1}{6}-\dfrac{3}{5}\\\\=\dfrac{30-5-3\times6}{30}\\\\=\dfrac{25-18}{30}\\\\=\dfrac{7}{30}$

Hence, the fraction of original cake is left. =$\dfrac{7}{30}$