What is 1/10 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 1/10 of 96? We'll show you a straightforward method to achieve that.

How to calculate 1/10 of 96?

  1. Multiply the whole number by the numerator of the fraction: 96 × 1 = 96
  2. Divide this result by denominator of the fraction: 96/10 = 9.6
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 96/2 = 48
    • 10/2 = 5
  4. Which gives: 48/5

Since 48/5 is an improper fraction, the result could also be expressed as a mixed number: 9 3/5

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 10 = x 96 (where x represents 1/10 of 96)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 96 = 10 x
  2. Which gives: 96 = 10 x
  3. Divide both sides by 10 to isolate x: 96 10 = 10 x 10
  4. Which gives the result: 96 10 = x (or 48 5 = x )

Thus, 1/10 of 96 is equal to 48/5 (or 9.6 in its decimal form).