Evaluate: [(1/2)-1+(1/3)-1+(1/4)-1]-1
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Answer:
1−12)(1−13)(1−14)(1−15)
=(2−12)(3−13)(4−14)(5−15)
=1/2×2/3×3/4×4/5
For each fraction other than the last one, the denominator cancels with the numerator of the next fraction. So the product is just
1/5
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Answer:
11/12
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