What is 10/3 of 67?

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

How to calculate 10/3 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 10 = 670
  2. Divide this result by denominator of the fraction: 670/3 = 223.33333333333

Since 670/3 is an improper fraction, the result could also be expressed as a mixed number: 223 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/3 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 3 = x 67 (where x represents 10/3 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 67 = 3 x
  2. Which gives: 670 = 3 x
  3. Divide both sides by 3 to isolate x: 670 3 = 3 x 3
  4. Which gives the result: 670 3 = x

Thus, 10/3 of 67 is equal to 670/3 (or 223.33333333333 in its decimal form).