What is 10/9 of 96?

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

How to calculate 10/9 of 96?

  1. Multiply the whole number by the numerator of the fraction: 96 × 10 = 960
  2. Divide this result by denominator of the fraction: 960/9 = 106.66666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 960/3 = 320
    • 9/3 = 3
  4. Which gives: 320/3

Since 320/3 is an improper fraction, the result could also be expressed as a mixed number: 106 2/3

How does it work?

The principle behind finding a fraction of a number, such as 10/9 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 9 = x 96 (where x represents 10/9 of 96)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 96 = 9 x
  2. Which gives: 960 = 9 x
  3. Divide both sides by 9 to isolate x: 960 9 = 9 x 9
  4. Which gives the result: 960 9 = x (or 320 3 = x )

Thus, 10/9 of 96 is equal to 320/3 (or 106.66666666667 in its decimal form).