Question

The fifth graders were given sandwiches for lunch during their field trip. Nathan ate 5/6 of his sandwich, Leroy ate 7/8 of his sandwich, and Sofia ate 5/8 of her sandwich. Who ate the greatest amount of their sandwich?

Answer 1

Nathan ate 20/24, Leroy ate 21/24, and Sofia ate 15/24 meaning Leroy ate the most

Answer 2

The greatest amount is when the bottom part of the fraction (denominator) is almost as large as the top part of a fraction (numinator)

This means that even if 5/6 numbers are very similar to each other, that does not mean they are the biggest. The biggest denominator is 8- however the numinator is 5- so the difference between those numbers is quite big. This means that the person left is Leroy, who had almost the biggest denominator, and a similar nominator.