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

1). Perry is farthest.

2). Perry walk 7/12 of a mile farther than Nadine

Explanation:

It is given that,Nadine walked 1/4 of a mile, Janet walked 3/8 of a mile, and Perry walked 5/6 of a mile.

Nadine - 1/4

Janet - 3/8

Perry - 5/6

To find the LCM of 4,6,8

LCM(4, 6, 8) = 24

To find who is farthest

1/4 = 6/24 (Nadine )

3/8 = 9/24 (Janet )

5/6 = 20/24 (Perry )

6/24 < 9/24 < 20/24

Therefore Perry is farthest.

Perry walk 20/24 and Nadine walk 6/24

Difference = 20/24 - 6/24 = 14/24 = 7/12

Therefore Perry walk 7/12 of a mile farther than Nadine

Answer 2

Perry walked farthest.

Perry walked 0.6 miles farther than Nadine.

Explanation:

Divide the numerator by the denominator of each distance. Then:

Nadine:

`(1)/(4)=0.25 miles`

Janet:

`(3)/(8)=0.375 miles`

Perry:

`(5)/(6)=0.83 miles`

Threfore Perry walked farthest.

Now, you must subtract the distance Perry walked and the distance Nadine walked:

`0.83miles-0.25miles=0.6miles`

Therefore, Perry walked 0.6 miles farther than Nadine.