What is 6/2 of 96?

How to calculate 6/2 of 96?

1. Multiply the whole number by the numerator of the fraction: 96 × 6 = 576
2. Divide this result by denominator of the fraction: 576/2 = 288
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 576/2 = 288
   • 2/2 = 1
4. Which gives: 288/1

How does it work?

The principle behind finding a fraction of a number, such as 6/2 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{2}=\frac{x}{96}$ (where x represents 6/2 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 96=2x$
2. Which gives: $576=2x$
3. Divide both sides by 2 to isolate x: $\frac{576}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{576}{2}=x$ (or $\frac{288}{1}=x$)

Thus, 6/2 of 96 is equal to 288/1 (or 288 in its decimal form).