What is 6/7 of 87?

How to calculate 6/7 of 87?

1. Multiply the whole number by the numerator of the fraction: 87 × 6 = 522
2. Divide this result by denominator of the fraction: 522/7 = 74.571428571429

Since 522/7 is an improper fraction, the result could also be expressed as a mixed number: 74 4/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{87}$ (where x represents 6/7 of 87)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 87=7x$
2. Which gives: $522=7x$
3. Divide both sides by 7 to isolate x: $\frac{522}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{522}{7}=x$

Thus, 6/7 of 87 is equal to 522/7 (or 74.571428571429 in its decimal form).