What is 6/7 of 99?

How to calculate 6/7 of 99?

1. Multiply the whole number by the numerator of the fraction: 99 × 6 = 594
2. Divide this result by denominator of the fraction: 594/7 = 84.857142857143

Since 594/7 is an improper fraction, the result could also be expressed as a mixed number: 84 6/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{99}$ (where x represents 6/7 of 99)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 99=7x$
2. Which gives: $594=7x$
3. Divide both sides by 7 to isolate x: $\frac{594}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{594}{7}=x$

Thus, 6/7 of 99 is equal to 594/7 (or 84.857142857143 in its decimal form).