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

Respuesta :

Answer:


Step-by-step 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:

Option D is correct.

Step-by-step explanation:

Given:

Distance Juan runs around a football field = [tex]4\frac{1}{6}\:times[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}\:times[/tex]

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 = [tex]4\frac{1}{6}=\frac{4\times6+1}{6}=\frac{25}{6}[/tex]

Distance Antonio runs around a football field = [tex]3\frac{2}{3}=\frac{3\times3+2}{3}=\frac{11}{3}[/tex]

Therefore, Option D is correct.

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