A numerator tile can only move to the denominator on the other side of the equals.
A denominator tile can only move to the numerator on the other side.
Invert swaps numerators and denominators (top ↔ bottom) on both sides.
Mirror swaps the entire left and right sides. Swapped tiles sit close to the equals.
Reset returns the current formula to its starting arrangement.
The Simplified Equation shows how students would normally write the equation in an exam: middle dots for multiplication, and a proper fraction bar only when a denominator exists.