What is 5/2 of 64?

How to calculate 5/2 of 64?

1. Multiply the whole number by the numerator of the fraction: 64 × 5 = 320
2. Divide this result by denominator of the fraction: 320/2 = 160
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 320/2 = 160
   • 2/2 = 1
4. Which gives: 160/1

How does it work?

The principle behind finding a fraction of a number, such as 5/2 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{2}=\frac{x}{64}$ (where x represents 5/2 of 64)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 64=2x$
2. Which gives: $320=2x$
3. Divide both sides by 2 to isolate x: $\frac{320}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{320}{2}=x$ (or $\frac{160}{1}=x$)

Thus, 5/2 of 64 is equal to 160/1 (or 160 in its decimal form).