What is 2/9 of 100?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/9 of 100? We'll show you a straightforward method to achieve that.

How to calculate 2/9 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: 200/9 = 22.222222222222

Since 200/9 is an improper fraction, the result could also be expressed as a mixed number: 22 2/9

How does it work?

The principle behind finding a fraction of a number, such as 2/9 of 100, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 9 = x 100 (where x represents 2/9 of 100)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 100 = 9 x
  2. Which gives: 200 = 9 x
  3. Divide both sides by 9 to isolate x: 200 9 = 9 x 9
  4. Which gives the result: 200 9 = x

Thus, 2/9 of 100 is equal to 200/9 (or 22.222222222222 in its decimal form).