What is 3/8 of 59?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/8 of 59? We'll show you a straightforward method to achieve that.

How to calculate 3/8 of 59?

  1. Multiply the whole number by the numerator of the fraction: 59 × 3 = 177
  2. Divide this result by denominator of the fraction: 177/8 = 22.125

Since 177/8 is an improper fraction, the result could also be expressed as a mixed number: 22 1/8

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 59, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 8 = x 59 (where x represents 3/8 of 59)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 59 = 8 x
  2. Which gives: 177 = 8 x
  3. Divide both sides by 8 to isolate x: 177 8 = 8 x 8
  4. Which gives the result: 177 8 = x

Thus, 3/8 of 59 is equal to 177/8 (or 22.125 in its decimal form).