In advance to all the people who provided support to my problem!

in a relay race, each of three runners runs one leg of the 5 1/4-mile race.
each leg is the same distance. what is the distance of each leg? show work.

Answer as an improper fraction:  7/4

Answer as a mixed number:  1 & 3/4

Answer in decimal form:  1.75

Each answer above is a different way to represent the same distance

Explanation:

I'm assuming the total distance is 5&1/4. This converts to the improper fraction 21/4 through the use of the formula below

a & b/c = (a*c+b)/c

In this case, a = 5, b = 1 ,c = 4

If each leg of the race is x miles, then the three legs add to x+x+x = 3x miles total. Set this equal to 21/4 and solve for x

3x = 21/4

(1/3)*3x = (1/3)*(21/4)

x = (1*21)/(3*4)

x = (21/3)*(1/4)

x = 7*(1/4)

x = 7/4

Each leg is 7/4 miles. Lets convert this to a mixed number through long division.

7/4 = 1 remainder 3

The two results above indicate that 7/4 = 1 & 3/4

To help confirm this, imagine you had 7 slices of pie and 4 people to divide those 7 slices among. Each person will get 1 slice meaning there are 7-4 = 3 slices leftover, aka the remainder.

If you need the answer in decimal form, then 1 & 3/4 = 1 + 3/4 = 1+0.75 = 1.75

according to the triangle sum theorem, all the angles in a triangle must add up to 180 degrees. if we know one angle is already 90, we do 180-90=90. the other 2 angles must add up to 90, exactly.

step-by-step explanation: