Respuesta :

tonb
This is the same as averaging. You add them and divide by 2.

((m/n) + (p/q))/2 would be a number in between m/n and p/q.

Do note that n and q must be nonzero, but luckily that is a given.

Answer:

it is given that,m,n,p, and q represent nonzero positive integers.

A number between a and b is given by

  [tex]\frac{a+b}{2}[/tex]

where, a and b are rational numbers ,having denominator ≠0.

A number between

 [tex]\frac{m}{n} \text{and} \frac{p}{q} \text{is equal to}\\\\=\frac{\frac{m}{n} + \frac{p}{q}}{2}\\\\=\frac{mq+np}{2nq}[/tex]

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