# Minimal triplet -- Definition

1. Mar 30, 2015

### 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?

2. Mar 30, 2015

### Staff: Mentor

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

3. Mar 31, 2015

### LagrangeEuler

No.

4. Mar 31, 2015

### Staff: Mentor

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?

5. Mar 31, 2015

### 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 $i=1,j=0,k=1$.

6. Mar 31, 2015

### Staff: Mentor

What paper? Can you post a link?