What is 8/7 of 87?

How to calculate 8/7 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 8 = 696
2. Divide this result by denominator of the fraction: 696/7 = 99.428571428571

Since 696/7 is an improper fraction, the result could also be expressed as a mixed number: 99 3/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{87}$ (where x represents 8/7 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 87=7x$
2. Which gives: $696=7x$
3. Divide both sides by 7 to isolate x: $\frac{696}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{696}{7}=x$

Thus, 8/7 of 87 is equal to 696/7 (or 99.428571428571 in its decimal form).