Arelay race covers 1\dfrac121 2 1 1, start fraction, 1, divided by, 2, end fraction kilometers, and each runner on a team will run \dfrac14 4 1 start fraction, 1, divided by, 4, end fraction of a kilometer. how many runners are needed for a team?

total distance need to cover by all runners in a relay race = 1/2 km.

fraction that each runner on a team will run = 1/4th of the total distnace.

total distance given is 1/2 km.

therefore, each runner on a team will run 1/4th of the total distnace = 1/4 of 1/2km.

1/4 of 1/2km can be expressed as

on simplifying above expression

therefore, each runner on a team will run = 1/8 km.

number of runners required to cover all distance = total distance ÷ distnace covered by each runner in the team.

= ÷

now, we will convert division sign into multiplication and flip right side fraction 1/8.

×

=

=

dividing 8 by 2, we get 4

therefore, number of runners required to cover all distance = 4 runners.