Question

Marie hiked 1/4 mile, Dan hiked 2/3 mile, and Tina hiked 3/8 mile. Who hiked the farthest?

Answer 1

Answer:Dan

Explanation:

Answer 2

To compare these numbers, we must find a common denominator.

We have dominators 4, 3 and 8.

LCM(4, 3, 8) = 24

`(1)/(4)=(1\cdot6)/(4\cdot6)=(6)/(24)\\\\(2)/(3)=(2\cdot8)/(3\cdot8)=(16)/(24)\\\\(3)/(8)=(3\cdot3)/(8\cdot3)=(9)/(24)\\\\(6)/(24) < (9)/(24) < (16)/(24)\to(1)/(4) < (3)/(8) < (2)/(3)`

Answer: Dan hiked the farthest.

Other method.

`(1)/(4)` is less than half, because 2 of 4 is the half

`(3)/(8)` is less than half, because 4 of 8 is the half

`(2)/(3)` is greater than half, because 1.5 of 3 is the half

Conclusion:
`(2)/(3)` is the largest fraction.