What is 9/7 of 60?

How to calculate 9/7 of 60?

1. Multiply the whole number by the numerator of the fraction: 60 × 9 = 540
2. Divide this result by denominator of the fraction: 540/7 = 77.142857142857

Since 540/7 is an improper fraction, the result could also be expressed as a mixed number: 77 1/7

How does it work?

The principle behind finding a fraction of a number, such as 9/7 of 60, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{9}{7}=\frac{x}{60}$ (where x represents 9/7 of 60)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $9\times 60=7x$
2. Which gives: $540=7x$
3. Divide both sides by 7 to isolate x: $\frac{540}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{540}{7}=x$

Thus, 9/7 of 60 is equal to 540/7 (or 77.142857142857 in its decimal form).