What is 5/3 of 23?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/3 of 23? We'll show you a straightforward method to achieve that.

How to calculate 5/3 of 23?

  1. Multiply the whole number by the numerator of the fraction: 23 × 5 = 115
  2. Divide this result by denominator of the fraction: 115/3 = 38.333333333333

Since 115/3 is an improper fraction, the result could also be expressed as a mixed number: 38 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 23 (where x represents 5/3 of 23)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 23 = 3 x
  2. Which gives: 115 = 3 x
  3. Divide both sides by 3 to isolate x: 115 3 = 3 x 3
  4. Which gives the result: 115 3 = x

Thus, 5/3 of 23 is equal to 115/3 (or 38.333333333333 in its decimal form).