Find generating fraction of number 0.21562626262 This was given to me as a practice problem as preparation for the final exam. The only thing is I have no idea how to do the question, as we did not go over generating fractions in class. I googled what a generating fraction was, and I found some information about generating functions, but nothing too helpful. The hint says to find the sum of the series. But I'm not sure how to find the series in the first place. Any help would be much appreciated, thank you.

unjulpild9b

unjulpild9b

Answered question

2022-09-25

Find generating fraction of number 0.21562626262
This was given to me as a practice problem as preparation for the final exam. The only thing is I have no idea how to do the question, as we did not go over generating fractions in class. I googled what a generating fraction was, and I found some information about generating functions, but nothing too helpful.
The hint says to find the sum of the series. But I'm not sure how to find the series in the first place.
Any help would be much appreciated, thank you.

Answer & Explanation

devilvunga

devilvunga

Beginner2022-09-26Added 14 answers

I'm not exactly sure what this means, but I believe it's very likely that it refers to finding an analogous fraction.

We deal with this in a relatively usual way. Let this number be x. Then
1000 x = 215.6262...  100000 x = 21562.6262...  
Subtracting these two, we get:
x = 21347 99000 

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