What is 6/7 of 67?

How to calculate 6/7 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 6 = 402
2. Divide this result by denominator of the fraction: 402/7 = 57.428571428571

Since 402/7 is an improper fraction, the result could also be expressed as a mixed number: 57 3/7

How does it work?

The principle behind finding a fraction of a number, such as 6/7 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{6}{7}=\frac{x}{67}$ (where x represents 6/7 of 67)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $6\times 67=7x$
2. Which gives: $402=7x$
3. Divide both sides by 7 to isolate x: $\frac{402}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{402}{7}=x$

Thus, 6/7 of 67 is equal to 402/7 (or 57.428571428571 in its decimal form).