What is 8/6 of 89?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/6 of 89? We'll show you a straightforward method to achieve that.

How to calculate 8/6 of 89?

  1. Multiply the whole number by the numerator of the fraction: 89 × 8 = 712
  2. Divide this result by denominator of the fraction: 712/6 = 118.66666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 712/2 = 356
    • 6/2 = 3
  4. Which gives: 356/3

Since 356/3 is an improper fraction, the result could also be expressed as a mixed number: 118 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 89, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 6 = x 89 (where x represents 8/6 of 89)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 89 = 6 x
  2. Which gives: 712 = 6 x
  3. Divide both sides by 6 to isolate x: 712 6 = 6 x 6
  4. Which gives the result: 712 6 = x (or 356 3 = x )

Thus, 8/6 of 89 is equal to 356/3 (or 118.66666666667 in its decimal form).