What is 9/6 of 15?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/6 of 15? We'll show you a straightforward method to achieve that.

How to calculate 9/6 of 15?

  1. Multiply the whole number by the numerator of the fraction: 15 × 9 = 135
  2. Divide this result by denominator of the fraction: 135/6 = 22.5
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 135/3 = 45
    • 6/3 = 2
  4. Which gives: 45/2

Since 45/2 is an improper fraction, the result could also be expressed as a mixed number: 22 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 15, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 6 = x 15 (where x represents 9/6 of 15)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 15 = 6 x
  2. Which gives: 135 = 6 x
  3. Divide both sides by 6 to isolate x: 135 6 = 6 x 6
  4. Which gives the result: 135 6 = x (or 45 2 = x )

Thus, 9/6 of 15 is equal to 45/2 (or 22.5 in its decimal form).