What is 2/3 of 75?

How to calculate 2/3 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: 150/3 = 50
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 150/3 = 50
   • 3/3 = 1
4. Which gives: 50/1

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 75, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{3}=\frac{x}{75}$ (where x represents 2/3 of 75)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 75=3x$
2. Which gives: $150=3x$
3. Divide both sides by 3 to isolate x: $\frac{150}{3}=\frac{3x}{3}$
4. Which gives the result: $\frac{150}{3}=x$ (or $\frac{50}{1}=x$)

Thus, 2/3 of 75 is equal to 50/1 (or 50 in its decimal form).