Question

Fiona bakes a cake she eats 2/12 of the cake and gives 3/5 away to a friend she stores the rest into a freezer what fraction of the cake did she put in the freezer

Answer 1

Fiona kept
`(7)/(30)` of the cake in the freezer.

Explanation:

Given:

Amount of cake she eats =
`(2)/(12)`

`(2)/(12)` can be written in reduced form as
`(1)/(6)`

Amount of cake she eats =
`(1)/(6)`

Amount of cakes she gives to friend =
`(3)/(5)`

We need to find the amount cake she kept in the freezer.

Solution:

Now we can say that;

the amount cake she kept in the freezer is equal to whole cake minus Amount of cake she ate minus Amount of cakes she gives to friend.

framing in equation form we get;

the amount cake she kept in the freezer =
`1-(1)/(6)-(3)/(5)`

Now we will make the denominator common by taking LCM.

the amount cake she kept in the freezer =
`(30)/(30)-(1*5)/(6*5)-(3*6)/(5*6)=(30)/(30)-(5)/(30)-(18)/(30)`

Now the denominator are common so we will solve the numerator we get;

the amount cake she kept in the freezer =
`(30-5-18)/(30)=(7)/(30)`

Hence Fiona kept
`(7)/(30)` of the cake in the freezer.