What is 5/2 of 66?

How to calculate 5/2 of 66?

1. Multiply the whole number by the numerator of the fraction: 66 × 5 = 330
2. Divide this result by denominator of the fraction: 330/2 = 165
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 330/2 = 165
   • 2/2 = 1
4. Which gives: 165/1

How does it work?

The principle behind finding a fraction of a number, such as 5/2 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{2}=\frac{x}{66}$ (where x represents 5/2 of 66)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 66=2x$
2. Which gives: $330=2x$
3. Divide both sides by 2 to isolate x: $\frac{330}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{330}{2}=x$ (or $\frac{165}{1}=x$)

Thus, 5/2 of 66 is equal to 165/1 (or 165 in its decimal form).