What is 9/7 of 68?

How to calculate 9/7 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: 612/7 = 87.428571428571

Since 612/7 is an improper fraction, the result could also be expressed as a mixed number: 87 3/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 68, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{68}$ (where x represents 9/7 of 68)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 68=7x$
2. Which gives: $612=7x$
3. Divide both sides by 7 to isolate x: $\frac{612}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{612}{7}=x$

Thus, 9/7 of 68 is equal to 612/7 (or 87.428571428571 in its decimal form).