What is 8/5 of 99?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/5 of 99? We'll show you a straightforward method to achieve that.

How to calculate 8/5 of 99?

  1. Multiply the whole number by the numerator of the fraction: 99 × 8 = 792
  2. Divide this result by denominator of the fraction: 792/5 = 158.4

Since 792/5 is an improper fraction, the result could also be expressed as a mixed number: 158 2/5

How does it work?

The principle behind finding a fraction of a number, such as 8/5 of 99, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 5 = x 99 (where x represents 8/5 of 99)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 99 = 5 x
  2. Which gives: 792 = 5 x
  3. Divide both sides by 5 to isolate x: 792 5 = 5 x 5
  4. Which gives the result: 792 5 = x

Thus, 8/5 of 99 is equal to 792/5 (or 158.4 in its decimal form).