Question

Select all the equations that represent this situation. Diego has run 2/3 of a race's

distance. He has run 8 & 1/2 kilometers. How long is the whole race?

8 & 1/2 divided by 2/3 = ?


2/3 divided by 8 & 1/2 = ?


2/3 x ? = 8 & 1/2


8 & 1/2 x ? = 2/3


8 & 1/2 times 3/2 = ?


8 & 1/2 x 2/3 = ?

Answer 1

To find the length of the whole race, you can solve the equation 2/3 x = 8 & 1/2 by multiplying both sides by the reciprocal of 2/3. The length of the whole race is 51/4 kilometers.

Step-by-step explanation:

To find the length of the whole race, we need to solve for x in the equation 2/3 x = 8 & 1/2

We can simplify 8 & 1/2 to an improper fraction, which is 17/2. So the equation becomes:

2/3 x = 17/2

To solve for x, we multiply both sides of the equation by the reciprocal of 2/3, which is 3/2:

(2/3) x (3/2) = (17/2) x (3/2)

Canceling out the common factors, we get:

1 x = (17 x 3)/(2 x 2)

x = 51/4

Therefore, the length of the whole race is 51/4 kilometers.