Find the value 1/2 x 2/3 x 3/4 .... 999/1000?
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Since when you multiply fraction, you multiply the numerator times the numerator to get the numerator, and you multiply the denominator times the denominator to get the denominator, you can change any numerator with any other numerator, and every denominator with any other denominator. Therefore the problem is equal to 1/1000 x 2/2 x 3/3 x 4/4 x 5/5 x 6/6 all the way to 999/999. That could become 1/1000 x 1/1 x 1/1 x 1/1 x 1/1 x 1/1 x 1/1 x 1/1. The answer to that would be 1/1000.