Jason iced 3/4 of a cake. He walked away and his sister stole 1/6 of the cake the piece she stole was only 2/3 iced. What fraction of the remaining cake is not iced?
Portion of cake which is iced = 3/4
Sister took (2/3)(1/6) of iced cake = 1/9 of iced cake
so part of iced cake left = 3/4 - 1/9 = 23/36
non-iced part left = 13/36
To find the fraction of the remaining cake that is not iced, we need to calculate the fraction of the cake that is iced after Jason's sister stole her piece.
First, let's calculate the fraction of the cake Jason iced:
Jason iced 3/4 of the cake.
Next, let's calculate the fraction of the cake Jason's sister stole:
Jason's sister stole 1/6 of the cake, and the piece she stole was only 2/3 iced.
To calculate the fraction of the cake that is not iced, we need to subtract the fraction of the cake that is iced from 1 (since the whole cake is 1).
Fraction of the cake that is iced:
3/4 - 2/3
To subtract fractions, we need a common denominator. The common denominator between 4 and 3 is 12. Let's convert the fractions:
(3/4) * (3/3) = 9/12
(2/3) * (4/4) = 8/12
Now, we can subtract:
9/12 - 8/12 = 1/12
Therefore, after Jason's sister stole her piece, there is 1/12 of the remaining cake that is not iced.
To find the fraction of the remaining cake that is not iced, we first need to determine how much cake is left after Jason's sister stole her portion.
Jason iced 3/4 of the cake, which means there was 1 - 3/4 = 1/4 of the cake remaining.
His sister then stole 1/6 of the original cake, but the piece she stole was only 2/3 iced. This means that she took (1/6) * (2/3) = 1/9 of the originally iced portion.
To find the remaining fraction of the cake that is not iced, we subtract the iced portion from the remaining portion:
(1/4) - (1/9) = 9/36 - 4/36 = 5/36
Therefore, 5/36 of the remaining cake is not iced.