What is 6/2 of 75?

How to calculate 6/2 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 6 = 450
2. Divide this result by denominator of the fraction: 450/2 = 225
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 450/2 = 225
   • 2/2 = 1
4. Which gives: 225/1

How does it work?

The principle behind finding a fraction of a number, such as 6/2 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{2}=\frac{x}{75}$ (where x represents 6/2 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 75=2x$
2. Which gives: $450=2x$
3. Divide both sides by 2 to isolate x: $\frac{450}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{450}{2}=x$ (or $\frac{225}{1}=x$)

Thus, 6/2 of 75 is equal to 225/1 (or 225 in its decimal form).