An arithmetic expression involving the addition of two fractions followed by division by a third fraction.

Observe that the sum $\frac{3}{4} + \frac{2}{3}$ involves a denominator of $12$ ($4 \times 3 = 12$). Numerator becomes $(3 \times 3) + (2 \times 4) = 9 + 8 = 17$. The expression is $\frac{17}{12} \div \frac{17}{12}$, which simplifies immediately to 1.

Adding the denominators directly instead of finding the Least Common Multiple (LCM), which leads to the incorrect result $\frac{5}{7}$.

This concept of reciprocal cancellation is widely used in algebra and competitive exams to simplify complex expressions containing variables like $\frac{x+y}{z} \div \frac{x+y}{z}$.