What is 2/7 of 82?

How to calculate 2/7 of 82?

1. Multiply the whole number by the numerator of the fraction: 82 × 2 = 164
2. Divide this result by denominator of the fraction: 164/7 = 23.428571428571

Since 164/7 is an improper fraction, the result could also be expressed as a mixed number: 23 3/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 82, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{82}$ (where x represents 2/7 of 82)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 82=7x$
2. Which gives: $164=7x$
3. Divide both sides by 7 to isolate x: $\frac{164}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{164}{7}=x$

Thus, 2/7 of 82 is equal to 164/7 (or 23.428571428571 in its decimal form).