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Anonymous
Anonymous asked in Science & MathematicsMathematics · 2 months ago

Did I do this right?

Ali ate 1/2 of a cake & Jason ate 1/3 of what was left. What fraction of the cake was still uneaten?

Answer: 1/6

11 Answers

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  • 2 months ago
    Favorite Answer

    You were wrong.

    the fraction of the cake eaten=

    1/2+(1/2)(1/3)=

    (1/2)(4/3)=

    2/3

    what is left=

    1-2/3=

    1/3 of the whole cake.

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  • 2 months ago

    6/6-3/6=3/6

    3/6-1/6=2/6

    1/3 of the cake will be uneaten.

    NO, you took 1/3 of the cake not 1/3 of the half cake.

    Draw a cake(circle) Cut it in sixths. Take away half. Take away 1/3 of half.

    2pieces (2/6ths) left. 

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  • Como
    Lv 7
    2 months ago

    1/2  + 1/6   = 4/6   = 2/3 is eaten 

    1/3 is uneaten

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  • 2 months ago

    yes, 1/2 of the cake remaining would be 3/6 then 2/6 - 3/6 = 1/6 -- the answer.

    • Philip
      Lv 6
      2 months agoReport

      You obviously did not proof-read your answer!

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  • 2 months ago

    1 - 1/2 - (1/3 of (1 - 1/2)) =

    1 - 1/2 - (1/3 of (1/2)) =

    1 - 1/2 - (1/3 * 1/2) =

    1 - 1/2 - 1/6 =

    6/6 - 3/6 - 1/6 =

    2/6 = 1/3

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  • RR
    Lv 7
    2 months ago

    Ali ate 1/2 leaving 1/2 = 3/6

    Jason ate 1/3 of 1/2 = 1/6

    Ali and Jason ate 3/6 + 1/6 = 4/6 = 2/3.

    3/3 - 2/3 = 1/3 remaining.

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  • 2 months ago

    Ali ate 1/2, so 1/2 remains

    Jason eats 1/3 of 1/2 => 1/6

    Total eaten => 1/2 + 1/6 = 4/6 = 2/3

    Hence, 1/3 is not eaten

    :)>

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  • TomV
    Lv 7
    2 months ago

    1 - 1/2 - (1-1/2)(1/3)

    = 1 - 1/2 - 1/3 + 1/6

    = (6 - 3 - 2 + 1)/6

    = 2/6

    = 1/3

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  • 2 months ago

    If that is the exact wording of the problem, then no, that is not correct.

    Ali ate half the cake --> 1/2

    Jason ate 1/3 of *what was left* --> 1/3 * 1/2 = 1/6

    So a total of 1/2 + 1/6 of the cake was eaten.

    3/6 + 1/6

    = 4/6

    = 2/3

    Subtracting from the original whole we have:

    1 - 2/3 = 1/3

    That means 1/3 of the cake should be uneaten.

    If the question had said, "Ali ate 1/2 of a cake while Jason ate 1/3 of the original cake..." then the total amount eaten would be 1/2 + 1/3

    = 3/6 + 2/6

    = 5/6

    1 - 5/6 = 1/6

    That's what they got as the answer but I don't believe it matches with the wording you provided.

    Answer:

    No, the correct answer for the posted question is that 1/3 of the cake remains.

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  • sepia
    Lv 7
    2 months ago

    Yes, You did it right.

     Ali ate 1/2 of a cake & Jason ate 1/3 of what was left. 

     What fraction of the cake was still uneaten?

    Answer: 1/6

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