What is 3/7 of 67?

How to calculate 3/7 of 67?

1. Multiply the whole number by the numerator of the fraction: 67 × 3 = 201
2. Divide this result by denominator of the fraction: 201/7 = 28.714285714286

Since 201/7 is an improper fraction, the result could also be expressed as a mixed number: 28 5/7

How does it work?

The principle behind finding a fraction of a number, such as 3/7 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{3}{7}=\frac{x}{67}$ (where x represents 3/7 of 67)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $3\times 67=7x$
2. Which gives: $201=7x$
3. Divide both sides by 7 to isolate x: $\frac{201}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{201}{7}=x$

Thus, 3/7 of 67 is equal to 201/7 (or 28.714285714286 in its decimal form).