What is 3/9 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 3/9 of 77? We'll show you a straightforward method to achieve that.

How to calculate 3/9 of 77?

  1. Multiply the whole number by the numerator of the fraction: 77 × 3 = 231
  2. Divide this result by denominator of the fraction: 231/9 = 25.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 231/3 = 77
    • 9/3 = 3
  4. Which gives: 77/3

Since 77/3 is an improper fraction, the result could also be expressed as a mixed number: 25 2/3

How does it work?

The principle behind finding a fraction of a number, such as 3/9 of 77, is rooted in the method of cross-multiplication.

Consider the following proportion: 3 9 = x 77 (where x represents 3/9 of 77)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 3 × 77 = 9 x
  2. Which gives: 231 = 9 x
  3. Divide both sides by 9 to isolate x: 231 9 = 9 x 9
  4. Which gives the result: 231 9 = x (or 77 3 = x )

Thus, 3/9 of 77 is equal to 77/3 (or 25.666666666667 in its decimal form).