Delhi Police Constable 2 Jan 2026 Shift 3 Paper

Concept:Simplify each expression separately, then compare the results using a common denominator.Explanation:First, compute the left side: $\frac{2}{3} \times \frac{9}{8}$. Multiply numerators and denominators: $\frac{2 \times 9}{3 \times 8} = \frac{18}{24}$. Simplify by dividing numerator and denominator by 6 to get $\frac{3}{4}$.Now compute the right side: $\frac{1}{2} + \frac{1}{6}$. The LCM of 2 and 6 is 6. Convert $\frac{1}{2}$ to $\frac{3}{6}$. Then add: $\frac{3}{6} + \frac{1}{6} = \frac{4}{6}$. Simplify by dividing by 2 to get $\frac{2}{3}$.Compare $\frac{3}{4}$ and $\frac{2}{3}$ by rewriting with denominator 12: $\frac{3}{4} = \frac{9}{12}$, $\frac{2}{3} = \frac{8}{12}$. Since $9 > 8$, we have $\frac{3}{4} > \frac{2}{3}$.Answer:Option A. >