What is 8/9 of 67?

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

How to calculate 8/9 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 8 = 536
  2. Divide this result by denominator of the fraction: 536/9 = 59.555555555556

Since 536/9 is an improper fraction, the result could also be expressed as a mixed number: 59 5/9

How does it work?

The principle behind finding a fraction of a number, such as 8/9 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 9 = x 67 (where x represents 8/9 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 67 = 9 x
  2. Which gives: 536 = 9 x
  3. Divide both sides by 9 to isolate x: 536 9 = 9 x 9
  4. Which gives the result: 536 9 = x

Thus, 8/9 of 67 is equal to 536/9 (or 59.555555555556 in its decimal form).