What is 5/3 of 38?

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

How to calculate 5/3 of 38?

  1. Multiply the whole number by the numerator of the fraction: 38 × 5 = 190
  2. Divide this result by denominator of the fraction: 190/3 = 63.333333333333

Since 190/3 is an improper fraction, the result could also be expressed as a mixed number: 63 1/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 38, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 38 (where x represents 5/3 of 38)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 38 = 3 x
  2. Which gives: 190 = 3 x
  3. Divide both sides by 3 to isolate x: 190 3 = 3 x 3
  4. Which gives the result: 190 3 = x

Thus, 5/3 of 38 is equal to 190/3 (or 63.333333333333 in its decimal form).