What is 2/7 of 71?

How to calculate 2/7 of 71?

1. Multiply the whole number by the numerator of the fraction: 71 × 2 = 142
2. Divide this result by denominator of the fraction: 142/7 = 20.285714285714

Since 142/7 is an improper fraction, the result could also be expressed as a mixed number: 20 2/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{71}$ (where x represents 2/7 of 71)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 71=7x$
2. Which gives: $142=7x$
3. Divide both sides by 7 to isolate x: $\frac{142}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{142}{7}=x$

Thus, 2/7 of 71 is equal to 142/7 (or 20.285714285714 in its decimal form).