What is 1/6 of 80?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/6 of 80? We'll show you a straightforward method to achieve that.

How to calculate 1/6 of 80?

  1. Multiply the whole number by the numerator of the fraction: 80 × 1 = 80
  2. Divide this result by denominator of the fraction: 80/6 = 13.333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 80/2 = 40
    • 6/2 = 3
  4. Which gives: 40/3

Since 40/3 is an improper fraction, the result could also be expressed as a mixed number: 13 1/3

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 80, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 6 = x 80 (where x represents 1/6 of 80)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 80 = 6 x
  2. Which gives: 80 = 6 x
  3. Divide both sides by 6 to isolate x: 80 6 = 6 x 6
  4. Which gives the result: 80 6 = x (or 40 3 = x )

Thus, 1/6 of 80 is equal to 40/3 (or 13.333333333333 in its decimal form).