What is 1/8 of 2?

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

How to calculate 1/8 of 2?

  1. Multiply the whole number by the numerator of the fraction: 2 × 1 = 2
  2. Divide this result by denominator of the fraction: 2/8 = 0.25
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 2/2 = 1
    • 8/2 = 4
  4. Which gives: 1/4

How does it work?

The principle behind finding a fraction of a number, such as 1/8 of 2, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 8 = x 2 (where x represents 1/8 of 2)

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

Thus, 1/8 of 2 is equal to 1/4 (or 0.25 in its decimal form).