What is 8/7 of 86?

How to calculate 8/7 of 86?

1. Multiply the whole number by the numerator of the fraction: 86 × 8 = 688
2. Divide this result by denominator of the fraction: 688/7 = 98.285714285714

Since 688/7 is an improper fraction, the result could also be expressed as a mixed number: 98 2/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 86, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{86}$ (where x represents 8/7 of 86)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 86=7x$
2. Which gives: $688=7x$
3. Divide both sides by 7 to isolate x: $\frac{688}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{688}{7}=x$

Thus, 8/7 of 86 is equal to 688/7 (or 98.285714285714 in its decimal form).