What is 8/7 of 67?

How to calculate 8/7 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 8 = 536
2. Divide this result by denominator of the fraction: 536/7 = 76.571428571429

Since 536/7 is an improper fraction, the result could also be expressed as a mixed number: 76 4/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{8}{7}=\frac{x}{67}$ (where x represents 8/7 of 67)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $8\times 67=7x$
2. Which gives: $536=7x$
3. Divide both sides by 7 to isolate x: $\frac{536}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{536}{7}=x$

Thus, 8/7 of 67 is equal to 536/7 (or 76.571428571429 in its decimal form).