What is 5/3 of 37?

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

How to calculate 5/3 of 37?

  1. Multiply the whole number by the numerator of the fraction: 37 × 5 = 185
  2. Divide this result by denominator of the fraction: 185/3 = 61.666666666667

Since 185/3 is an improper fraction, the result could also be expressed as a mixed number: 61 2/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 37, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 37 (where x represents 5/3 of 37)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 37 = 3 x
  2. Which gives: 185 = 3 x
  3. Divide both sides by 3 to isolate x: 185 3 = 3 x 3
  4. Which gives the result: 185 3 = x

Thus, 5/3 of 37 is equal to 185/3 (or 61.666666666667 in its decimal form).