What is 2/7 of 80?

How to calculate 2/7 of 80?

1. Multiply the whole number by the numerator of the fraction: 80 × 2 = 160
2. Divide this result by denominator of the fraction: 160/7 = 22.857142857143

Since 160/7 is an improper fraction, the result could also be expressed as a mixed number: 22 6/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 80, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{80}$ (where x represents 2/7 of 80)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 80=7x$
2. Which gives: $160=7x$
3. Divide both sides by 7 to isolate x: $\frac{160}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{160}{7}=x$

Thus, 2/7 of 80 is equal to 160/7 (or 22.857142857143 in its decimal form).