What is 5/9 of 76?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/9 of 76? We'll show you a straightforward method to achieve that.

How to calculate 5/9 of 76?

  1. Multiply the whole number by the numerator of the fraction: 76 × 5 = 380
  2. Divide this result by denominator of the fraction: 380/9 = 42.222222222222

Since 380/9 is an improper fraction, the result could also be expressed as a mixed number: 42 2/9

How does it work?

The principle behind finding a fraction of a number, such as 5/9 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 9 = x 76 (where x represents 5/9 of 76)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 76 = 9 x
  2. Which gives: 380 = 9 x
  3. Divide both sides by 9 to isolate x: 380 9 = 9 x 9
  4. Which gives the result: 380 9 = x

Thus, 5/9 of 76 is equal to 380/9 (or 42.222222222222 in its decimal form).