What is 1/9 of 3?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/9 of 3? We'll show you a straightforward method to achieve that.

How to calculate 1/9 of 3?

  1. Multiply the whole number by the numerator of the fraction: 3 × 1 = 3
  2. Divide this result by denominator of the fraction: 3/9 = 0.33333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 3/3 = 1
    • 9/3 = 3
  4. Which gives: 1/3

How does it work?

The principle behind finding a fraction of a number, such as 1/9 of 3, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 9 = x 3 (where x represents 1/9 of 3)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 3 = 9 x
  2. Which gives: 3 = 9 x
  3. Divide both sides by 9 to isolate x: 3 9 = 9 x 9
  4. Which gives the result: 3 9 = x (or 1 3 = x )

Thus, 1/9 of 3 is equal to 1/3 (or 0.33333333333333 in its decimal form).