What is 2/7 of 100?

How to calculate 2/7 of 100?

1. Multiply the whole number by the numerator of the fraction: 100 × 2 = 200
2. Divide this result by denominator of the fraction: 200/7 = 28.571428571429

Since 200/7 is an improper fraction, the result could also be expressed as a mixed number: 28 4/7

How does it work?

The principle behind finding a fraction of a number, such as 2/7 of 100, is rooted in the method of cross-multiplication.

Consider the following proportion: $\frac{2}{7}=\frac{x}{100}$ (where x represents 2/7 of 100)

1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: $2\times 100=7x$
2. Which gives: $200=7x$
3. Divide both sides by 7 to isolate x: $\frac{200}{7}=\frac{7x}{7}$
4. Which gives the result: $\frac{200}{7}=x$

Thus, 2/7 of 100 is equal to 200/7 (or 28.571428571429 in its decimal form).