What is 9/2 of 68?

How to calculate 9/2 of 68?

1. Multiply the whole number by the numerator of the fraction: 68 × 9 = 612
2. Divide this result by denominator of the fraction: 612/2 = 306
3. Simplify by dividing both the numerator and denominator by their GCD (2):
   • 612/2 = 306
   • 2/2 = 1
4. Which gives: 306/1

How does it work?

The principle behind finding a fraction of a number, such as 9/2 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{2}=\frac{x}{68}$ (where x represents 9/2 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 68=2x$
2. Which gives: $612=2x$
3. Divide both sides by 2 to isolate x: $\frac{612}{2}=\frac{2x}{2}$
4. Which gives the result: $\frac{612}{2}=x$ (or $\frac{306}{1}=x$)

Thus, 9/2 of 68 is equal to 306/1 (or 306 in its decimal form).