Minimal Triplet: Definition and Calculation

[LagrangeEuler]

I have a general question. For example I have some relation
$$A=\frac{iB+j}{k}C$$
where $$i,j,k$$ are integers. How to obtain minimal triplet and what is definition of minimal triplet. Let for example we have case $A=\frac{1}{10}$, $B=\frac{1}{2}$, $C=\frac{2}{10}$. Find minimal triplet $i,j,k$. How and what is definition?

 

[Mark44]

I have a general question. For example I have some relation
$$A=\frac{iB+j}{k}C$$
where $$i,j,k$$ are integers. How to obtain minimal triplet and what is definition of minimal triplet.

Doesn't your textbook have a definition of a minimal triplet?

Let for example we have case $A=\frac{1}{10}$, $B=\frac{1}{2}$, $C=\frac{2}{10}$. Find minimal triplet $i,j,k$. How and what is definition?

 

[LagrangeEuler]

Doesn't your textbook have a definition of a minimal triplet?

No.

 

[Mark44]

Is this a problem from a textbook? I've never seen a math book that asked you to find something without providing at least a definition of that something.

Can you give us the context of this problem?

 

[LagrangeEuler]

It is paper and I am trying to figure it out what is their definition of minimal triplet. They say that minimal triplet is $i=1,j=0,k=1$.

 

[Mark44]

What paper? Can you post a link?