Question

Debbie ate 1/8 of a large brownie. Julian ate 1/2 of a small brownie. Julian says, "I ate more brownies than you because 1/2>1/8." Use pictures and words to explain Julians's mistake.

Answer 1

We can't compare the two quantities as the quantity were of different sizes.

Explanation:

We are given a statement as:

Debbie ate 1/8 of a large brownie. Julian ate 1/2 of a small brownie.

Then we are given that:

Julian says, "I ate more brownies than you because 1/2>1/8."

" Julian mistake was that the brownies ate by both of them were of different size so we can't compare them though 1/2 >1/8 but we can compare them only when they were of the same type "

This could also be shown with the help of a picture attach to the answer.

Answer 2

Draw two boxes. One much larger than another. Draw a line down the middle of the smaller box. This is Julian's brownie. Now, draw a line dividing the large box in half, and repeat this again and again until you get 8 equal pieces. This is Debbie's brownie. Shade in one section of Debbie's brownie and 1 section of Julian's brownie. This should show that
`(1)/(8)` of a large brownie is greater than
`(1)/(2)` of a small brownie.