Question

The table below shows the points earned by five teams in a mathematics game.

Answer 1

Answer: B

`9(1)/(2)>9(1)/(4)>8(3)/(4)>8(1)/(2)>8(1)/(4)`

Step-by-step explanation

The mixed numbers are composed of whole numbers and fractions, for example:

Then, if we have two mixed numbers with different whole numbers, the one with the greatest whole number will be the greatest.

Based on the previous, Team A and C are the largest while the rest are smaller.

To differentiate between Team B, D, and E we have to evaluate the fraction:

• Team B

`(3)/(4)=0.75`

• Team D

`(1)/(4)=0.25`

• Team E

`(1)/(2)=(2)/(4)=0.5`

Between these teams, the greater is Team B, then E, and finally D.

Comparing teams A and C:

• Team A

`(1)/(2)=(4)/(2)=0.5`

• Team C

`(1)/(4)=0.25`

Then, Team A is the greatest.