The method to divide fractions is to keep the first fraction the same, turn the divide sign into a multiply and turn the second fraction upside down. This is known as multiplying by the reciprocal.

Let 𝐾 be a number field with algebraic closure K¯, and let 𝑆 be a finite set of places of 𝐾 containing all the infinite ones. Let Γ₀ be a finitely generated subgroup of Gm(K¯), and let Γ⊂Gm(K¯) be ...

Algebra can be demystified with the right approach. Transforming word problems into mathematical expressions is crucial, alongside using formula sheets and colour-coding equations for clarity.

Algebra can often feel intimidating, filled with strange symbols and abstract concepts that seem hard to grasp. But with the right strategies, anyone can unlock its logic and see how algebra connects ...