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  Mathematics - Roundings



Winner: Le Mans Prototype Porsche 919 Hybrid

In the 24 Hours of Le Mans 2017, only five LMP1 cars, two Porsche and three Toyota, start after Audi's departure. During the race, 3 of the cars will be dropped completely, two remaining, of which the Toyota had to be repaired for two and the Porsche for one hour.

Now the LMP2 see its chances. This is a group of almost equivalent vehicles, but with less power and alongside professionals also amateurs drivers. On the podium is in any case one of them, although it is 10 seconds slower with round times of 3:30 minutes.

Does at least the Porsche 919 Hybrid still manage the overall victory?


An average LMP2 provides more than 411 laps..


The Porsche-LMP1 provides 414 laps.


The Toyota-LMP1 provides 396 laps.

Can you see a possible inaccuracy in the calculation? Looks it all right? Has only one weak point, the numbers of rounds. It is assumed as a mean value. But which car is already operated about 400 rounds with always the same time per round?

Surely, Kobayashi with his Toyota was in the qualification almost 3:15 m fast and won the pole position. But already Bernhard with the later winner-Porsche needed more than 1:17 m. Such fastest laps are rarely to achieve in the race. And during the night you have to add 2 to 3 seconds.

The margin is small. If the Porsche is only one secondon the average slower per round, it only reaches the same number of rounds as the LMP2. Therefore, a very exact calculation with so many digits behind the comma as possible can be just as good as the input values.

And then there are the rounding errors. If we had converted all times into minutes instead of seconds, roundings errors would have been inevitable. Good pocket calculators unless otherwise sets output intermediate results as fractions and only calculate a decimal value at the end. So the result contains only one rounding error instead of several.


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