What is 1/7 of 67?

How to calculate 1/7 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 1 = 67
2. Divide this result by denominator of the fraction: 67/7 = 9.5714285714286

Since 67/7 is an improper fraction, the result could also be expressed as a mixed number: 9 4/7

How does it work?

The principle behind finding a fraction of a number, such as 1/7 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{1}{7}=\frac{x}{67}$ (where x represents 1/7 of 67)

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

Thus, 1/7 of 67 is equal to 67/7 (or 9.5714285714286 in its decimal form).