Question

Kim ate 3⁄10 of a bag of potato chips; Sandy ate 3⁄7 of a bag; and Jeff ate 3⁄9 of a bag. Who ate the most, Kim, Jeff, or Sandy?

Answer 1

Sandy, because she is splitting 3 things into 7 parts. The others split 3 things into 9 or 10 parts which would be smaller parts.

Answer 2

The most is Sandy

Explanation:

we know that

When we compare fractions of the same numerator and different denominator, the fraction with the lowest denominator is greater

so

In this problem we have

Kim ate
`(3)/(10)` of a bag

Sandy ate
`(3)/(7)` of a bag

Jeff ate
`(3)/(9)` of a bag

the lowest denominator is
`(3)/(7)`

therefore

The most is Sandy