What is 2/3 of 60?

How to calculate 2/3 of 60?

1. Multiply the whole number by the numerator of the fraction: 60 × 2 = 120
2. Divide this result by denominator of the fraction: 120/3 = 40
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 120/3 = 40
   • 3/3 = 1
4. Which gives: 40/1

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 60, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{3}=\frac{x}{60}$ (where x represents 2/3 of 60)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 60=3x$
2. Which gives: $120=3x$
3. Divide both sides by 3 to isolate x: $\frac{120}{3}=\frac{3x}{3}$
4. Which gives the result: $\frac{120}{3}=x$ (or $\frac{40}{1}=x$)

Thus, 2/3 of 60 is equal to 40/1 (or 40 in its decimal form).