Finding average of denominator knowing average of numerator and average of fraction

Good day to you all. I have a little problem I have been banging my head on for a while.

I have come to think that it is impossible, but I hope you can save me.

I have a fraction, $\frac{nu{m}_{i}}{de{n}_{i}}$., which takes different values over time.

The objective is to calculate $\frac{average(nu{m}_{i})}{average(de{n}_{i})}$

I have at my disposal $average(\frac{nu{m}_{i}}{de{n}_{i}})$ and $average(nu{m}_{i})$

Is there any way to do this, or do I need to get $average(de{n}_{i})$ also?

Thanks a lot for your help.

Edit with an example

Let's take $\frac{1}{2},\frac{1}{3},\frac{1}{4}$

The information at my disposal is:

The average of numerators is 1.

The average of fractions is 0.36

Is it possible with the information I have to retrieve the average of denominators?

Good day to you all. I have a little problem I have been banging my head on for a while.

I have come to think that it is impossible, but I hope you can save me.

I have a fraction, $\frac{nu{m}_{i}}{de{n}_{i}}$., which takes different values over time.

The objective is to calculate $\frac{average(nu{m}_{i})}{average(de{n}_{i})}$

I have at my disposal $average(\frac{nu{m}_{i}}{de{n}_{i}})$ and $average(nu{m}_{i})$

Is there any way to do this, or do I need to get $average(de{n}_{i})$ also?

Thanks a lot for your help.

Edit with an example

Let's take $\frac{1}{2},\frac{1}{3},\frac{1}{4}$

The information at my disposal is:

The average of numerators is 1.

The average of fractions is 0.36

Is it possible with the information I have to retrieve the average of denominators?