What is 3/5 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 3/5 of 37? We'll show you a straightforward method to achieve that.

How to calculate 3/5 of 37?

  1. Multiply the whole number by the numerator of the fraction: 37 × 3 = 111
  2. Divide this result by denominator of the fraction: 111/5 = 22.2

Since 111/5 is an improper fraction, the result could also be expressed as a mixed number: 22 1/5

How does it work?

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

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

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 37 = 5 x
  2. Which gives: 111 = 5 x
  3. Divide both sides by 5 to isolate x: 111 5 = 5 x 5
  4. Which gives the result: 111 5 = x

Thus, 3/5 of 37 is equal to 111/5 (or 22.2 in its decimal form).