What is 9/8 of 79?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/8 of 79? We'll show you a straightforward method to achieve that.

How to calculate 9/8 of 79?

  1. Multiply the whole number by the numerator of the fraction: 79 × 9 = 711
  2. Divide this result by denominator of the fraction: 711/8 = 88.875

Since 711/8 is an improper fraction, the result could also be expressed as a mixed number: 88 7/8

How does it work?

The principle behind finding a fraction of a number, such as 9/8 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 8 = x 79 (where x represents 9/8 of 79)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 79 = 8 x
  2. Which gives: 711 = 8 x
  3. Divide both sides by 8 to isolate x: 711 8 = 8 x 8
  4. Which gives the result: 711 8 = x

Thus, 9/8 of 79 is equal to 711/8 (or 88.875 in its decimal form).