What is 10/5 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 10/5 of 96? We'll show you a straightforward method to achieve that.

How to calculate 10/5 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: 960/5 = 192
  3. Simplify by dividing both the numerator and denominator by their GCD (5):
    • 960/5 = 192
    • 5/5 = 1
  4. Which gives: 192/1

How does it work?

The principle behind finding a fraction of a number, such as 10/5 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: 10 5 = x 96 (where x represents 10/5 of 96)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 10 × 96 = 5 x
  2. Which gives: 960 = 5 x
  3. Divide both sides by 5 to isolate x: 960 5 = 5 x 5
  4. Which gives the result: 960 5 = x (or 192 1 = x )

Thus, 10/5 of 96 is equal to 192/1 (or 192 in its decimal form).