What is 8/3 of 76?

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

How to calculate 8/3 of 76?

  1. Multiply the whole number by the numerator of the fraction: 76 × 8 = 608
  2. Divide this result by denominator of the fraction: 608/3 = 202.66666666667

Since 608/3 is an improper fraction, the result could also be expressed as a mixed number: 202 2/3

How does it work?

The principle behind finding a fraction of a number, such as 8/3 of 76, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 3 = x 76 (where x represents 8/3 of 76)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 76 = 3 x
  2. Which gives: 608 = 3 x
  3. Divide both sides by 3 to isolate x: 608 3 = 3 x 3
  4. Which gives the result: 608 3 = x

Thus, 8/3 of 76 is equal to 608/3 (or 202.66666666667 in its decimal form).