What is 10/9 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 10/9 of 66? We'll show you a straightforward method to achieve that.

How to calculate 10/9 of 66?

  1. Multiply the whole number by the numerator of the fraction: 66 × 10 = 660
  2. Divide this result by denominator of the fraction: 660/9 = 73.333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 660/3 = 220
    • 9/3 = 3
  4. Which gives: 220/3

Since 220/3 is an improper fraction, the result could also be expressed as a mixed number: 73 1/3

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 66, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 66 (where x represents 10/9 of 66)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 66 = 9 x
  2. Which gives: 660 = 9 x
  3. Divide both sides by 9 to isolate x: 660 9 = 9 x 9
  4. Which gives the result: 660 9 = x (or 220 3 = x )

Thus, 10/9 of 66 is equal to 220/3 (or 73.333333333333 in its decimal form).