MathLabs

Problem 1

Prove that the fraction 21n+414n+3\frac{21n+4}{14n+3} is irreducible for every natural number nn.
Step 4 of 4: State the result
Previous stepNext step
gcd⁡(21n+4,14n+3)=1\gcd(21n+4,14n+3)=1
Detailed analysis

The numerator and denominator are coprime for every natural number nn, so the fraction is irreducible.