What is 8/6 of 83?

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

How to calculate 8/6 of 83?

  1. Multiply the whole number by the numerator of the fraction: 83 × 8 = 664
  2. Divide this result by denominator of the fraction: 664/6 = 110.66666666667
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 664/2 = 332
    • 6/2 = 3
  4. Which gives: 332/3

Since 332/3 is an improper fraction, the result could also be expressed as a mixed number: 110 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 6 = x 83 (where x represents 8/6 of 83)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 83 = 6 x
  2. Which gives: 664 = 6 x
  3. Divide both sides by 6 to isolate x: 664 6 = 6 x 6
  4. Which gives the result: 664 6 = x (or 332 3 = x )

Thus, 8/6 of 83 is equal to 332/3 (or 110.66666666667 in its decimal form).