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. =\(\dfrac{7}{30}\)
