2017 AMC 8 Problems/Problem 5
Problem
What is the value of the expression ?
Solution 1
Directly calculating:
We evaluate both the top and bottom: . This simplifies to .
Solution 2
It is well known that the sum of all numbers from to is . Therefore, the denominator is equal to . Now we can cancel the factors of , , and from both the numerator and denominator, only leaving . This evaluates to .
Solution 3
First, we evaluate , to get 36. We notice that 36 is 6 squared, so we can factor the denominator like then cancel the 6s out, to get . Now that we have escaped fraction form, multiplying . Multiplying these, we get .
Video Solution
See Also
2017 AMC 8 (Problems • Answer Key • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
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