What is 10/9 of 90?

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

How to calculate 10/9 of 90?

  1. Multiply the whole number by the numerator of the fraction: 90 × 10 = 900
  2. Divide this result by denominator of the fraction: 900/9 = 100
  3. Simplify by dividing both the numerator and denominator by their GCD (9):
    • 900/9 = 100
    • 9/9 = 1
  4. Which gives: 100/1

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 90, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 90 (where x represents 10/9 of 90)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 90 = 9 x
  2. Which gives: 900 = 9 x
  3. Divide both sides by 9 to isolate x: 900 9 = 9 x 9
  4. Which gives the result: 900 9 = x (or 100 1 = x )

Thus, 10/9 of 90 is equal to 100/1 (or 100 in its decimal form).