What is 1/8 of 87?

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

How to calculate 1/8 of 87?

  1. Multiply the whole number by the numerator of the fraction: 87 × 1 = 87
  2. Divide this result by denominator of the fraction: 87/8 = 10.875

Since 87/8 is an improper fraction, the result could also be expressed as a mixed number: 10 7/8

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 87, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 8 = x 87 (where x represents 1/8 of 87)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 87 = 8 x
  2. Which gives: 87 = 8 x
  3. Divide both sides by 8 to isolate x: 87 8 = 8 x 8
  4. Which gives the result: 87 8 = x

Thus, 1/8 of 87 is equal to 87/8 (or 10.875 in its decimal form).