What is 2/3 of 48?

How to calculate 2/3 of 48?

1. Multiply the whole number by the numerator of the fraction: 48 × 2 = 96
2. Divide this result by denominator of the fraction: 96/3 = 32
3. Simplify by dividing both the numerator and denominator by their GCD (3):
   • 96/3 = 32
   • 3/3 = 1
4. Which gives: 32/1

How does it work?

The principle behind finding a fraction of a number, such as 2/3 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{3}=\frac{x}{48}$ (where x represents 2/3 of 48)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 48=3x$
2. Which gives: $96=3x$
3. Divide both sides by 3 to isolate x: $\frac{96}{3}=\frac{3x}{3}$
4. Which gives the result: $\frac{96}{3}=x$ (or $\frac{32}{1}=x$)

Thus, 2/3 of 48 is equal to 32/1 (or 32 in its decimal form).