Randude wrote:

filipTGIM wrote:

Or you can just find a fraction that has the least difference between numerator and denominator.

Can you please explain the concept behind this approach.

Hello

Randude\(\frac{9}{17}\), \(\frac{31}{61}\), \(\frac{41}{81}\)

We can see common thing in these fractions. Their nominator mutipled on 2 equal to denominator - 1

9*2 = 18 = 17-1

31*2 = 62 = 62-1

41*2 = 82 = 82-1

so 9/17 --> 17/2 = 8.5 this number on 0.5 less than 9 and we can write this fraction as half of 17 + 0.5 divide by 17 --> 1/2 + 0.5/17

so 31/61 --> 61/2 = 30.5 this number on 0.5 less than 31 and we can write this fraction as half of 61 + 0.5 divide by 61 --> 1/2 + 0.5/61

so 41/81 --> 81/2 = 40.5 this number on 0.5 less than 41 and we can write this fraction as half of 81 + 0.5 divide by 81 --> 1/2 + 0.5/81

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