What is 6/7 of 94?

How to calculate 6/7 of 94?

1. Multiply the whole number by the numerator of the fraction: 94 × 6 = 564
2. Divide this result by denominator of the fraction: 564/7 = 80.571428571429

Since 564/7 is an improper fraction, the result could also be expressed as a mixed number: 80 4/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 94, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{94}$ (where x represents 6/7 of 94)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 94=7x$
2. Which gives: $564=7x$
3. Divide both sides by 7 to isolate x: $\frac{564}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{564}{7}=x$

Thus, 6/7 of 94 is equal to 564/7 (or 80.571428571429 in its decimal form).