Question

Nadine walked 1⁄4 of a mile, Janet walked 3⁄8 of a mile, and Perry walked 5⁄6 of a mile. Who walked the farthest? How much farther did Perry walk than Nadine?

Answer 1

Convert the unlike fractions. the LCD is 24
1*6/4*6 = 6/24, 3*3/8*3 = 9/24, 5*4/6*4 = 20/24
Compare the three fractions. The largest is 20/24, so Perry walked the farthest.

Subtract Nadine's distance from Perry's distance to find out how much farther Perry walked than Nadine
20/24 - 6/24 = 14/24 mile
14 divided by 2/ 24 divided by 2 = 7/12 mile
Perry walked 7/12 mile farther than Nadine.

Answer 2

To compare, we will change all to the same denominators:


`\text {Nadine =} (1)/(4) = (6)/(24) \text { miles}`


`\text {Janet =} (3)/(8) = (9)/(24) \text { miles}`


`\text {Perry =} (5)/(6) = (20)/(24) \text { miles}`

Perry walked the furthest.


`(20)/(24) - (6)/(24) = (14)/(24) = (7)/(12)`

Perry walked 7/12 miles more than Nadine.