A team of runners is needed to run a 1/4 mile relay race. If each runner must run 1/16 mile, how many runners will be needed?
( 1 / 4 ) / ( 1 / 16 )
When you dividing fractions by fractions then:
( a / b ) / ( c / d ) = a ∙ d / b ∙ c
so
( 1 / 4 ) / ( 1 / 16 ) = 1 ∙ 16 / 4 ∙ 1 = 16 / 4 = 4
Check of result:
4 ∙ 1 / 16 mile = 4 / 16 mile = 4 ∙ 1 / 4 ∙ 4 mile = 1 / 4 mile
16 divided by 4 equals 4 so that means 4/16 = 1/4 so for each runner to run 1/16 of a mile there would need to be 4 runners
Have a good day/night :)
To determine the number of runners needed, you need to divide the total distance of the relay race (1/4 mile) by the distance each runner runs (1/16 mile).
To do this, you can follow these steps:
Step 1: Convert the fractions to a common denominator.
1/4 mile = 4/16 mile
1/16 mile = 1/16 mile
Step 2: Divide the total distance by the distance each runner runs.
4/16 mile ÷ 1/16 mile = 4/16 ÷ 1/16
This can be simplified to:
4/16 ÷ 1/16 = 4/16 × 16/1
Now, if we multiply the numerator (4) by the reciprocal of the denominator (1/16), we get:
4/16 × 16/1 = 4
Therefore, you will need 4 runners to complete the 1/4 mile relay race if each runner runs 1/16 mile.