What is 6/9 of 66?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/9 of 66? We'll show you a straightforward method to achieve that.

How to calculate 6/9 of 66?

  1. Multiply the whole number by the numerator of the fraction: 66 × 6 = 396
  2. Divide this result by denominator of the fraction: 396/9 = 44
  3. Simplify by dividing both the numerator and denominator by their GCD (9):
    • 396/9 = 44
    • 9/9 = 1
  4. Which gives: 44/1

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 9 = x 66 (where x represents 6/9 of 66)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 66 = 9 x
  2. Which gives: 396 = 9 x
  3. Divide both sides by 9 to isolate x: 396 9 = 9 x 9
  4. Which gives the result: 396 9 = x (or 44 1 = x )

Thus, 6/9 of 66 is equal to 44/1 (or 44 in its decimal form).