What is 6/7 of 66?

How to calculate 6/7 of 66?

1. Multiply the whole number by the numerator of the fraction: 66 × 6 = 396
2. Divide this result by denominator of the fraction: 396/7 = 56.571428571429

Since 396/7 is an improper fraction, the result could also be expressed as a mixed number: 56 4/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{66}$ (where x represents 6/7 of 66)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 66=7x$
2. Which gives: $396=7x$
3. Divide both sides by 7 to isolate x: $\frac{396}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{396}{7}=x$

Thus, 6/7 of 66 is equal to 396/7 (or 56.571428571429 in its decimal form).