What is 2/3 of 96?

How to calculate 2/3 of 96?

1. Multiply the whole number by the numerator of the fraction: 96 × 2 = 192
2. Divide this result by denominator of the fraction: 192/3 = 64
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 192/3 = 64
   • 3/3 = 1
4. Which gives: 64/1

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{3}=\frac{x}{96}$ (where x represents 2/3 of 96)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 96=3x$
2. Which gives: $192=3x$
3. Divide both sides by 3 to isolate x: $\frac{192}{3}=\frac{3x}{3}$
4. Which gives the result: $\frac{192}{3}=x$ (or $\frac{64}{1}=x$)

Thus, 2/3 of 96 is equal to 64/1 (or 64 in its decimal form).