What is 3/2 of 64?

How to calculate 3/2 of 64?

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

How does it work?

The principle behind finding a fraction of a number, such as 3/2 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{2}=\frac{x}{64}$ (where x represents 3/2 of 64)

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

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