Question

Olivia and Hudson each have an apple. Olivia cuts hers into halves and eats one piece. Hudson cuts his into quarters and eats two pieces. Who ate more of their apple?

Answer 1

They ate the same amount.

Explanation:

So Olivia has one apple. She cuts it in to 1/2 pieces. She ate 1 half of it.

Hudson cuts his into 1/4 pieces. He ate 2/4 pieces. 2/4 and 1/2 are equal so they both ate the same amount.

Answer 2

No one ate more

Explanation:

Olivia and Hudson each have an apple.

Olivia cuts her apple into halves and eats one piece.

1 ÷ 2 =
`(1)/(2)` +
`(1)/(2)`

Now she ate one piece =
`(1)/(2)`

Hudson cuts his apple into quarters and eats two pieces.

1 ÷ 4 =
`(1)/(4)` +
`(1)/(4)` +
`(1)/(4)` +
`(1)/(4)`

He ate 2 pieces =
`(1)/(4)` +
`(1)/(4)` =
`(1)/(2)`

Therefore, No one ate more. They ate the same amount of apple.