What is 8/9 of 77?

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

How to calculate 8/9 of 77?

  1. Multiply the whole number by the numerator of the fraction: 77 × 8 = 616
  2. Divide this result by denominator of the fraction: 616/9 = 68.444444444444

Since 616/9 is an improper fraction, the result could also be expressed as a mixed number: 68 4/9

How does it work?

The principle behind finding a fraction of a number, such as 8/9 of 77, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 9 = x 77 (where x represents 8/9 of 77)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 77 = 9 x
  2. Which gives: 616 = 9 x
  3. Divide both sides by 9 to isolate x: 616 9 = 9 x 9
  4. Which gives the result: 616 9 = x

Thus, 8/9 of 77 is equal to 616/9 (or 68.444444444444 in its decimal form).