The sum of the numbers 4 and 1 [1/3] is the same as the product of 4 and 1 [1/3]; that is to say 4 + 1 [1/3] = 4 × 1 [1/3]. What other numbers have the sum equal to the product and can this be so for any whole numbers?
All Tangled Up
Stage: 3 Challenge Level:
Oliver from Olchfa School suggests that if we work back to 0 (using -1 instead of +1 for the twists), and then reverse the sequence, we can arrive at any fraction we desire.Hereis his explanation of how to proceed. Thank you Oliver.
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