Jason has just finished icing the cake when he walks away his sister steals a piece the stolen piece is one sixth of the whole cake the stolen piece is two thirds covered in icing what fraction of the original cake was not iced
Whoa!
The problem states that he'd just finished icing the cake.
But the question asks what fraction of the cake wasn't iced.
Makes no sense.
I have no idea what you're trying to communicate.
Please repost with appropriate punctuation and capitalization.
Jason has just finished icing a cake. His sister steals a piece. The stolen piece is 1/6 of the whole cake. The stolen piece is 2/3covered with icing. What fraction of the original cake was not iced?
Jason had only iced 3/4 of the cake when he walked away. The sister steals 1/6 of the cake and the piece she stole was 2/3 iced. What fraction of the original cake is not iced?
To find the fraction of the original cake that was not iced, we need to determine how much of the cake was iced first.
We are given that the stolen piece is two-thirds covered in icing. This means that one-third of the stolen piece was not iced. Since the stolen piece is one-sixth of the whole cake, we can find the fraction of the cake that was iced by multiplying one-third (the un-iced portion of the stolen piece) by one-sixth (the fraction of the whole cake represented by the stolen piece):
Fraction iced = 1/3 * 1/6
To multiply fractions, we multiply the numerators (1 * 1) and the denominators (3 * 6):
Fraction iced = 1/3 * 1/6 = 1/18
Therefore, one-eighteenth of the original cake was iced.
To determine the fraction of the original cake that was not iced, we can subtract the fraction iced from one whole:
Fraction not iced = 1 - 1/18
To subtract fractions, we need to find a common denominator. The common denominator here is 18:
Fraction not iced = (18/18) - (1/18)
Subtract the numerators (18 - 1) and keep the common denominator:
Fraction not iced = 17/18
Therefore, seventeen-eighteenths (17/18) of the original cake was not iced.