What is 9/2 of 58?

How to calculate 9/2 of 58?

1. Multiply the whole number by the numerator of the fraction: 58 × 9 = 522
2. Divide this result by denominator of the fraction: 522/2 = 261
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 522/2 = 261
   • 2/2 = 1
4. Which gives: 261/1

How does it work?

The principle behind finding a fraction of a number, such as 9/2 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{2}=\frac{x}{58}$ (where x represents 9/2 of 58)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 58=2x$
2. Which gives: $522=2x$
3. Divide both sides by 2 to isolate x: $\frac{522}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{522}{2}=x$ (or $\frac{261}{1}=x$)

Thus, 9/2 of 58 is equal to 261/1 (or 261 in its decimal form).