What is 6/9 of 65?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/9 of 65? We'll show you a straightforward method to achieve that.

How to calculate 6/9 of 65?

  1. Multiply the whole number by the numerator of the fraction: 65 × 6 = 390
  2. Divide this result by denominator of the fraction: 390/9 = 43.333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 390/3 = 130
    • 9/3 = 3
  4. Which gives: 130/3

Since 130/3 is an improper fraction, the result could also be expressed as a mixed number: 43 1/3

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 65, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 9 = x 65 (where x represents 6/9 of 65)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 65 = 9 x
  2. Which gives: 390 = 9 x
  3. Divide both sides by 9 to isolate x: 390 9 = 9 x 9
  4. Which gives the result: 390 9 = x (or 130 3 = x )

Thus, 6/9 of 65 is equal to 130/3 (or 43.333333333333 in its decimal form).