What is 3/8 of 71?

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

How to calculate 3/8 of 71?

  1. Multiply the whole number by the numerator of the fraction: 71 × 3 = 213
  2. Divide this result by denominator of the fraction: 213/8 = 26.625

Since 213/8 is an improper fraction, the result could also be expressed as a mixed number: 26 5/8

How does it work?

The principle behind finding a fraction of a number, such as 3/8 of 71, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 8 = x 71 (where x represents 3/8 of 71)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 71 = 8 x
  2. Which gives: 213 = 8 x
  3. Divide both sides by 8 to isolate x: 213 8 = 8 x 8
  4. Which gives the result: 213 8 = x

Thus, 3/8 of 71 is equal to 213/8 (or 26.625 in its decimal form).