What is 9/6 of 36?

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

How to calculate 9/6 of 36?

  1. Multiply the whole number by the numerator of the fraction: 36 × 9 = 324
  2. Divide this result by denominator of the fraction: 324/6 = 54
  3. Simplify by dividing both the numerator and denominator by their GCD (6):
    • 324/6 = 54
    • 6/6 = 1
  4. Which gives: 54/1

How does it work?

The principle behind finding a fraction of a number, such as 9/6 of 36, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 6 = x 36 (where x represents 9/6 of 36)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 36 = 6 x
  2. Which gives: 324 = 6 x
  3. Divide both sides by 6 to isolate x: 324 6 = 6 x 6
  4. Which gives the result: 324 6 = x (or 54 1 = x )

Thus, 9/6 of 36 is equal to 54/1 (or 54 in its decimal form).