What is 8/9 of 64?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/9 of 64? We'll show you a straightforward method to achieve that.

How to calculate 8/9 of 64?

  1. Multiply the whole number by the numerator of the fraction: 64 × 8 = 512
  2. Divide this result by denominator of the fraction: 512/9 = 56.888888888889

Since 512/9 is an improper fraction, the result could also be expressed as a mixed number: 56 8/9

How does it work?

The principle behind finding a fraction of a number, such as 8/9 of 64, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 9 = x 64 (where x represents 8/9 of 64)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 64 = 9 x
  2. Which gives: 512 = 9 x
  3. Divide both sides by 9 to isolate x: 512 9 = 9 x 9
  4. Which gives the result: 512 9 = x

Thus, 8/9 of 64 is equal to 512/9 (or 56.888888888889 in its decimal form).