What is 9/3 of 28?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/3 of 28? We'll show you a straightforward method to achieve that.

How to calculate 9/3 of 28?

  1. Multiply the whole number by the numerator of the fraction: 28 × 9 = 252
  2. Divide this result by denominator of the fraction: 252/3 = 84
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 252/3 = 84
    • 3/3 = 1
  4. Which gives: 84/1

How does it work?

The principle behind finding a fraction of a number, such as 9/3 of 28, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 3 = x 28 (where x represents 9/3 of 28)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 28 = 3 x
  2. Which gives: 252 = 3 x
  3. Divide both sides by 3 to isolate x: 252 3 = 3 x 3
  4. Which gives the result: 252 3 = x (or 84 1 = x )

Thus, 9/3 of 28 is equal to 84/1 (or 84 in its decimal form).