What is 8/7 of 72?

How to calculate 8/7 of 72?

1. Multiply the whole number by the numerator of the fraction: 72 × 8 = 576
2. Divide this result by denominator of the fraction: 576/7 = 82.285714285714

Since 576/7 is an improper fraction, the result could also be expressed as a mixed number: 82 2/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 72, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{72}$ (where x represents 8/7 of 72)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 72=7x$
2. Which gives: $576=7x$
3. Divide both sides by 7 to isolate x: $\frac{576}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{576}{7}=x$

Thus, 8/7 of 72 is equal to 576/7 (or 82.285714285714 in its decimal form).