Trick of the Day - Adding Fractions in the Form a/b + b/c + c/d

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Trick of the Day - Adding Fractions in the Form a/b + b/c + c/d

Post by Ani on Thu Mar 12, 2009 4:23 pm

... in which b = a+1, c = b + 1, and d = c + 1

ex. 1 2/3 + 3/4 + 4/5
1. The whole number part will always be 2
2. Square the first numerator, (2^2 = 4), then multiply by last denominator (4 * 5 = 20), then finally subtract by 2 more than the last denominator(20-(5+2) = 13) to get your numerator
3. The denominator is all the denominators multiplied together (3*4*5 = 60)
4. the answer is 2 13/60
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