What is the reciprocal of the sum of the reciprocals of 2 and 3?

This mathematical puzzle is solved by carefully following the steps in order. First, we find the "reciprocals" of 2 and 3. A reciprocal is simply 1 divided by the number, so we get 1/2 and 1/3. The next step is to find their sum. To add these fractions, we need a common denominator, which is 6. This turns our problem into 3/6 + 2/6, which equals 5/6. The final instruction is to find the reciprocal of that result. By "flipping" the fraction 5/6, we arrive at the solution: 6/5.

While it might seem like just a brain teaser, this calculation has a special name and important real-world applications. The result is half of what is known as the