What is 6/2 of 81?

How to calculate 6/2 of 81?

1. Multiply the whole number by the numerator of the fraction: 81 × 6 = 486
2. Divide this result by denominator of the fraction: 486/2 = 243
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 486/2 = 243
   • 2/2 = 1
4. Which gives: 243/1

How does it work?

The principle behind finding a fraction of a number, such as 6/2 of 81, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{2}=\frac{x}{81}$ (where x represents 6/2 of 81)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 81=2x$
2. Which gives: $486=2x$
3. Divide both sides by 2 to isolate x: $\frac{486}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{486}{2}=x$ (or $\frac{243}{1}=x$)

Thus, 6/2 of 81 is equal to 243/1 (or 243 in its decimal form).