What is 2/7 of 20?

How to calculate 2/7 of 20?

1. Multiply the whole number by the numerator of the fraction: 20 × 2 = 40
2. Divide this result by denominator of the fraction: 40/7 = 5.7142857142857

Since 40/7 is an improper fraction, the result could also be expressed as a mixed number: 5 5/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 20, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{20}$ (where x represents 2/7 of 20)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 20=7x$
2. Which gives: $40=7x$
3. Divide both sides by 7 to isolate x: $\frac{40}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{40}{7}=x$

Thus, 2/7 of 20 is equal to 40/7 (or 5.7142857142857 in its decimal form).