What is 9/8 of 68?

How to calculate 9/8 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: 612/8 = 76.5
3. Simplify by dividing both the numerator and denominator by their GCD (4):
   • 612/4 = 153
   • 8/4 = 2
4. Which gives: 153/2

Since 153/2 is an improper fraction, the result could also be expressed as a mixed number: 76 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/8 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{8}=\frac{x}{68}$ (where x represents 9/8 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 68=8x$
2. Which gives: $612=8x$
3. Divide both sides by 8 to isolate x: $\frac{612}{8}=\frac{8x}{8}$
4. Which gives the result: $\frac{612}{8}=x$ (or $\frac{153}{2}=x$)

Thus, 9/8 of 68 is equal to 153/2 (or 76.5 in its decimal form).