What is 10/3 of 20?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 10/3 of 20? We'll show you a straightforward method to achieve that.

How to calculate 10/3 of 20?

  1. Multiply the whole number by the numerator of the fraction: 20 × 10 = 200
  2. Divide this result by denominator of the fraction: 200/3 = 66.666666666667

Since 200/3 is an improper fraction, the result could also be expressed as a mixed number: 66 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/3 of 20, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 3 = x 20 (where x represents 10/3 of 20)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 20 = 3 x
  2. Which gives: 200 = 3 x
  3. Divide both sides by 3 to isolate x: 200 3 = 3 x 3
  4. Which gives the result: 200 3 = x

Thus, 10/3 of 20 is equal to 200/3 (or 66.666666666667 in its decimal form).