Question

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The rational numbers between $0$ and $1$ whose the sum of the numerator and denominator is $70$ are as follows:

$691 =0.014$

$682 =0.029$

$673 =0.044$

$664 =0.0.06$

$⋮$

$⋮$

$⋮$

$⋮$

$3733 =0.89$

$3634 =0.94$

Hence, there are a total of $34$ positive rational numbers between $0$ and $1$ such that the sum of the numerator and denominator is $70$.

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