What is 9/6 of 68?

How to calculate 9/6 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: 612/6 = 102
3. Simplify by dividing both the numerator and denominator by their GCD (6):
   • 612/6 = 102
   • 6/6 = 1
4. Which gives: 102/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{6}=\frac{x}{68}$ (where x represents 9/6 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 68=6x$
2. Which gives: $612=6x$
3. Divide both sides by 6 to isolate x: $\frac{612}{6}=\frac{6x}{6}$
4. Which gives the result: $\frac{612}{6}=x$ (or $\frac{102}{1}=x$)

Thus, 9/6 of 68 is equal to 102/1 (or 102 in its decimal form).