What is 9/2 of 48?

How to calculate 9/2 of 48?

1. Multiply the whole number by the numerator of the fraction: 48 × 9 = 432
2. Divide this result by denominator of the fraction: 432/2 = 216
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 432/2 = 216
   • 2/2 = 1
4. Which gives: 216/1

How does it work?

The principle behind finding a fraction of a number, such as 9/2 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{2}=\frac{x}{48}$ (where x represents 9/2 of 48)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 48=2x$
2. Which gives: $432=2x$
3. Divide both sides by 2 to isolate x: $\frac{432}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{432}{2}=x$ (or $\frac{216}{1}=x$)

Thus, 9/2 of 48 is equal to 216/1 (or 216 in its decimal form).