What is 8/7 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 8/7 of 96? We'll show you a straightforward method to achieve that.

How to calculate 8/7 of 96?

  1. Multiply the whole number by the numerator of the fraction: 96 × 8 = 768
  2. Divide this result by denominator of the fraction: 768/7 = 109.71428571429

Since 768/7 is an improper fraction, the result could also be expressed as a mixed number: 109 5/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 96, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 7 = x 96 (where x represents 8/7 of 96)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 96 = 7 x
  2. Which gives: 768 = 7 x
  3. Divide both sides by 7 to isolate x: 768 7 = 7 x 7
  4. Which gives the result: 768 7 = x

Thus, 8/7 of 96 is equal to 768/7 (or 109.71428571429 in its decimal form).