But total = 31/7 × (105/31) = 105 / 7 = 15 → correct.

Thu, 30 Apr 2026 20:05:24 +0000

Understanding the Mathematical Identity: 31/7 × (105/31) = 105 / 7 = 15 Mathematics often reveals elegant patterns where complex-looking expressions simplify into elegant results. One such concise identity is: 31⁄7 × (105⁄31) = 105⁄7 = 15 At first glance, this may appear obscure, but a closer look uncovers a powerful cancellation principle based on fraction manipulation. Let’s explore how this holds true—and why it’s a great example of simplifying expressions step by step.