What is 3/10 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 3/10 of 96? We'll show you a straightforward method to achieve that.

How to calculate 3/10 of 96?

  1. Multiply the whole number by the numerator of the fraction: 96 × 3 = 288
  2. Divide this result by denominator of the fraction: 288/10 = 28.8
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 288/2 = 144
    • 10/2 = 5
  4. Which gives: 144/5

Since 144/5 is an improper fraction, the result could also be expressed as a mixed number: 28 4/5

How does it work?

The principle behind finding a fraction of a number, such as 3/10 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 10 = x 96 (where x represents 3/10 of 96)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 96 = 10 x
  2. Which gives: 288 = 10 x
  3. Divide both sides by 10 to isolate x: 288 10 = 10 x 10
  4. Which gives the result: 288 10 = x (or 144 5 = x )

Thus, 3/10 of 96 is equal to 144/5 (or 28.8 in its decimal form).