Evaluate
\frac{6}{7}\approx 0.857142857
Factor
\frac{2 \cdot 3}{7} = 0.8571428571428571
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\frac{40320-7!-6!}{8!}
The factorial of 8 is 40320.
\frac{40320-5040-6!}{8!}
The factorial of 7 is 5040.
\frac{35280-6!}{8!}
Subtract 5040 from 40320 to get 35280.
\frac{35280-720}{8!}
The factorial of 6 is 720.
\frac{34560}{8!}
Subtract 720 from 35280 to get 34560.
\frac{34560}{40320}
The factorial of 8 is 40320.
\frac{6}{7}
Reduce the fraction \frac{34560}{40320} to lowest terms by extracting and canceling out 5760.
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