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?

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

1/3 is uneaten

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

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• 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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• 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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• 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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• 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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• 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.

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

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• 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?

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