What is 2/2 of 75?

How to calculate 2/2 of 75?

1. Multiply the whole number by the numerator of the fraction: 75 × 2 = 150
2. Divide this result by denominator of the fraction: 150/2 = 75
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 150/2 = 75
   • 2/2 = 1
4. Which gives: 75/1

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=2x$
2. Which gives: $150=2x$
3. Divide both sides by 2 to isolate x: $\frac{150}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{150}{2}=x$ (or $\frac{75}{1}=x$)

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