How many rational numbers are there strictly between 0 and 1 with the property that the sum of the numerator and denominator is 70?
The rational numbers between 0 and 1 whose the sum of the numerator and denominator is 70 are as follows:
169=0.014
268=0.029
367=0.044
466=0.0.06
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⋮
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3337=0.89
3436=0.94
Hence, there are a total of 34 positive rational numbers between 0 and 1 such that the sum of the numerator and denominator is 70.