What is 4/9 of 89?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 4/9 of 89? We'll show you a straightforward method to achieve that.

How to calculate 4/9 of 89?

  1. Multiply the whole number by the numerator of the fraction: 89 × 4 = 356
  2. Divide this result by denominator of the fraction: 356/9 = 39.555555555556

Since 356/9 is an improper fraction, the result could also be expressed as a mixed number: 39 5/9

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 89, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 9 = x 89 (where x represents 4/9 of 89)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 89 = 9 x
  2. Which gives: 356 = 9 x
  3. Divide both sides by 9 to isolate x: 356 9 = 9 x 9
  4. Which gives the result: 356 9 = x

Thus, 4/9 of 89 is equal to 356/9 (or 39.555555555556 in its decimal form).