What is 5/2 of 84?

How to calculate 5/2 of 84?

1. Multiply the whole number by the numerator of the fraction: 84 × 5 = 420
2. Divide this result by denominator of the fraction: 420/2 = 210
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 420/2 = 210
   • 2/2 = 1
4. Which gives: 210/1

How does it work?

The principle behind finding a fraction of a number, such as 5/2 of 84, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{5}{2}=\frac{x}{84}$ (where x represents 5/2 of 84)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $5\times 84=2x$
2. Which gives: $420=2x$
3. Divide both sides by 2 to isolate x: $\frac{420}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{420}{2}=x$ (or $\frac{210}{1}=x$)

Thus, 5/2 of 84 is equal to 210/1 (or 210 in its decimal form).