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

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charstar charstar · Answer 1 · 2016-11-10T22:35:48+01:00

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 :)

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JeanaShupp JeanaShupp · Answer 2 · 2019-09-02T19:36:34+02:00

Answer: [tex]\dfrac{7}{30}[/tex]

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%=[tex]\dfrac{60}{100}=\dfrac{3}{5}[/tex]

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

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

[tex]1-\dfrac{1}{6}-\dfrac{3}{5}\\\\=\dfrac{30-5-3\times6}{30}\\\\=\dfrac{25-18}{30}\\\\=\dfrac{7}{30}[/tex]

Hence, the fraction of original cake is left. =[tex]\dfrac{7}{30}[/tex]