What is 3/9 of 54?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 3/9 of 54? We'll show you a straightforward method to achieve that.

How to calculate 3/9 of 54?

  1. Multiply the whole number by the numerator of the fraction: 54 × 3 = 162
  2. Divide this result by denominator of the fraction: 162/9 = 18
  3. Simplify by dividing both the numerator and denominator by their GCD (9):
    • 162/9 = 18
    • 9/9 = 1
  4. Which gives: 18/1

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 54, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 9 = x 54 (where x represents 3/9 of 54)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 54 = 9 x
  2. Which gives: 162 = 9 x
  3. Divide both sides by 9 to isolate x: 162 9 = 9 x 9
  4. Which gives the result: 162 9 = x (or 18 1 = x )

Thus, 3/9 of 54 is equal to 18/1 (or 18 in its decimal form).