Question

A two person relay race consists of eight times around a football field. Juan runs four and one-sixth times around and Antonio runs three and two-thirds times around the field. What are the distances they ran as improper fractions?

A. Juan: 11/3 ; Antonio:25/6
B. Juan: 3 2/3 ; Antonio:4 1/6
C. Juan: 4 1/6 ; Antonio: 3 2/3
D. Juan: 25/6 ; Antonio: 11/3

Answer 1

Explanation:

Well, this is a dumb problem... they're trying to trick you with the answers. :(

Okay, so what you're going to do is multiply the whole numbers by 1 put into the fractions.

Juan= 4 1/6--- 4 * 6/6 = 24/6

24/6 + 1/6 = 25/6

Antonio= 3 2/3 ---- 3 * 3/3 = 9/3

9/3 + 2/3 = 11/3

They changed the names around in the answers- Pay attention to who is associated to each fraction.

The right answer is D. Good luck... I hate it when problems try to trick you like that.

Answer 2

Option D is correct.

Explanation:

Given:

Distance Juan runs around a football field =
`4(1)/(6)\:times`

Distance Antonio runs around a football field =
`3(2)/(3)\:times`

We need to find the distance they run in improper fraction.

We are given Distance in Mixed fraction. So we convert the distance in improper fraction.

Distance Juan runs around a football field =
`4(1)/(6)=(4*6+1)/(6)=(25)/(6)`

Distance Antonio runs around a football field =
`3(2)/(3)=(3*3+2)/(3)=(11)/(3)`

Therefore, Option D is correct.