What is 3/2 of 48?

How to calculate 3/2 of 48?

1. Multiply the whole number by the numerator of the fraction: 48 × 3 = 144
2. Divide this result by denominator of the fraction: 144/2 = 72
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 144/2 = 72
   • 2/2 = 1
4. Which gives: 72/1

How does it work?

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

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

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 48=2x$
2. Which gives: $144=2x$
3. Divide both sides by 2 to isolate x: $\frac{144}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{144}{2}=x$ (or $\frac{72}{1}=x$)

Thus, 3/2 of 48 is equal to 72/1 (or 72 in its decimal form).