What is 10/3 of 62?

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 62? We'll show you a straightforward method to achieve that.

How to calculate 10/3 of 62?

  1. Multiply the whole number by the numerator of the fraction: 62 × 10 = 620
  2. Divide this result by denominator of the fraction: 620/3 = 206.66666666667

Since 620/3 is an improper fraction, the result could also be expressed as a mixed number: 206 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/3 of 62, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 3 = x 62 (where x represents 10/3 of 62)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 62 = 3 x
  2. Which gives: 620 = 3 x
  3. Divide both sides by 3 to isolate x: 620 3 = 3 x 3
  4. Which gives the result: 620 3 = x

Thus, 10/3 of 62 is equal to 620/3 (or 206.66666666667 in its decimal form).