What is 2/8 of 27?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/8 of 27? We'll show you a straightforward method to achieve that.

How to calculate 2/8 of 27?

  1. Multiply the whole number by the numerator of the fraction: 27 × 2 = 54
  2. Divide this result by denominator of the fraction: 54/8 = 6.75
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 54/2 = 27
    • 8/2 = 4
  4. Which gives: 27/4

Since 27/4 is an improper fraction, the result could also be expressed as a mixed number: 6 3/4

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 27, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 8 = x 27 (where x represents 2/8 of 27)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 27 = 8 x
  2. Which gives: 54 = 8 x
  3. Divide both sides by 8 to isolate x: 54 8 = 8 x 8
  4. Which gives the result: 54 8 = x (or 27 4 = x )

Thus, 2/8 of 27 is equal to 27/4 (or 6.75 in its decimal form).