A racecar driver has completed 12 1/2 laps of a 50 lap race. What fractional part of the race remains?

Question: A racecar driver has completed 12 1/2 laps of a 50 lap race. What fractional part of the race remains?

a. 1/4      b. 1/5       c. 3/4       d. 4/5         e. 75/2

Answer:  The driver has 50 – 12 1/2 or 37 1/2 laps to go out of the . Therefore, (37 1/2)/50 is the fractional part of the race remaining. This is equivalent to 3/4, which is answer C.

a. (1/4) This is the racing part completed by the driver.

b. (1/5) This comes from mistakenly dividing by , the latter number coming from adding both lap amounts. The race is only .

c. Correct

d. (4/5) This comes from taking the fraction in response B and subtracting it from 1.

e. (75/2) This comes from , but that’s how many laps are left – the driver is only in one race, not !

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