What is 8/3 of 79?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/3 of 79? We'll show you a straightforward method to achieve that.

How to calculate 8/3 of 79?

  1. Multiply the whole number by the numerator of the fraction: 79 × 8 = 632
  2. Divide this result by denominator of the fraction: 632/3 = 210.66666666667

Since 632/3 is an improper fraction, the result could also be expressed as a mixed number: 210 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/3 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 3 = x 79 (where x represents 8/3 of 79)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 79 = 3 x
  2. Which gives: 632 = 3 x
  3. Divide both sides by 3 to isolate x: 632 3 = 3 x 3
  4. Which gives the result: 632 3 = x

Thus, 8/3 of 79 is equal to 632/3 (or 210.66666666667 in its decimal form).