What is 1/10 of 31?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/10 of 31? We'll show you a straightforward method to achieve that.

How to calculate 1/10 of 31?

  1. Multiply the whole number by the numerator of the fraction: 31 × 1 = 31
  2. Divide this result by denominator of the fraction: 31/10 = 3.1

Since 31/10 is an improper fraction, the result could also be expressed as a mixed number: 3 1/10

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 10 = x 31 (where x represents 1/10 of 31)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 31 = 10 x
  2. Which gives: 31 = 10 x
  3. Divide both sides by 10 to isolate x: 31 10 = 10 x 10
  4. Which gives the result: 31 10 = x

Thus, 1/10 of 31 is equal to 31/10 (or 3.1 in its decimal form).