the core of their proof usually relies on one basic property of rational numbers: They don’t like to come near each other. For example, say you choose two fractions, one with a denominator of 7, the ...

Simplify \(\frac{3t + 6}{3t}\). The numerator of this fraction will factorise as there is a common factor of 3. This gives \(\frac{3(t + 2)}{3t}\). Now, there is clearly a common factor of 3 ...

\(\frac{\sqrt{2}}{2}\) \(\frac{\sqrt{6}}{2}\) \(\frac{5 \sqrt{3}}{6}\) Multiply the numerator and denominator by \(\sqrt{3}\). It is not wrong to multiply by \(2\sqrt ...