What is 1/8 of 19?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/8 of 19? We'll show you a straightforward method to achieve that.

How to calculate 1/8 of 19?

  1. Multiply the whole number by the numerator of the fraction: 19 × 1 = 19
  2. Divide this result by denominator of the fraction: 19/8 = 2.375

Since 19/8 is an improper fraction, the result could also be expressed as a mixed number: 2 3/8

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 19, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 8 = x 19 (where x represents 1/8 of 19)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 19 = 8 x
  2. Which gives: 19 = 8 x
  3. Divide both sides by 8 to isolate x: 19 8 = 8 x 8
  4. Which gives the result: 19 8 = x

Thus, 1/8 of 19 is equal to 19/8 (or 2.375 in its decimal form).