What is 6/9 of 58?

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

How to calculate 6/9 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 6 = 348
  2. Divide this result by denominator of the fraction: 348/9 = 38.666666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (3):
    • 348/3 = 116
    • 9/3 = 3
  4. Which gives: 116/3

Since 116/3 is an improper fraction, the result could also be expressed as a mixed number: 38 2/3

How does it work?

The principle behind finding a fraction of a number, such as 6/9 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 9 = x 58 (where x represents 6/9 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 58 = 9 x
  2. Which gives: 348 = 9 x
  3. Divide both sides by 9 to isolate x: 348 9 = 9 x 9
  4. Which gives the result: 348 9 = x (or 116 3 = x )

Thus, 6/9 of 58 is equal to 116/3 (or 38.666666666667 in its decimal form).