What is 4/9 of 44?

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 44? We'll show you a straightforward method to achieve that.

How to calculate 4/9 of 44?

  1. Multiply the whole number by the numerator of the fraction: 44 × 4 = 176
  2. Divide this result by denominator of the fraction: 176/9 = 19.555555555556

Since 176/9 is an improper fraction, the result could also be expressed as a mixed number: 19 5/9

How does it work?

The principle behind finding a fraction of a number, such as 4/9 of 44, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 9 = x 44 (where x represents 4/9 of 44)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 44 = 9 x
  2. Which gives: 176 = 9 x
  3. Divide both sides by 9 to isolate x: 176 9 = 9 x 9
  4. Which gives the result: 176 9 = x

Thus, 4/9 of 44 is equal to 176/9 (or 19.555555555556 in its decimal form).