What is 10/9 of 99?

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

How to calculate 10/9 of 99?

  1. Multiply the whole number by the numerator of the fraction: 99 × 10 = 990
  2. Divide this result by denominator of the fraction: 990/9 = 110
  3. Simplify by dividing both the numerator and denominator by their GCD (9):
    • 990/9 = 110
    • 9/9 = 1
  4. Which gives: 110/1

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 99 (where x represents 10/9 of 99)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 99 = 9 x
  2. Which gives: 990 = 9 x
  3. Divide both sides by 9 to isolate x: 990 9 = 9 x 9
  4. Which gives the result: 990 9 = x (or 110 1 = x )

Thus, 10/9 of 99 is equal to 110/1 (or 110 in its decimal form).