What is 1/6 of 100?

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

How to calculate 1/6 of 100?

  1. Multiply the whole number by the numerator of the fraction: 100 × 1 = 100
  2. Divide this result by denominator of the fraction: 100/6 = 16.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 100/2 = 50
    • 6/2 = 3
  4. Which gives: 50/3

Since 50/3 is an improper fraction, the result could also be expressed as a mixed number: 16 2/3

How does it work?

The principle behind finding a fraction of a number, such as 1/6 of 100, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 6 = x 100 (where x represents 1/6 of 100)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 100 = 6 x
  2. Which gives: 100 = 6 x
  3. Divide both sides by 6 to isolate x: 100 6 = 6 x 6
  4. Which gives the result: 100 6 = x (or 50 3 = x )

Thus, 1/6 of 100 is equal to 50/3 (or 16.666666666667 in its decimal form).