What is 8/3 of 26?

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

How to calculate 8/3 of 26?

  1. Multiply the whole number by the numerator of the fraction: 26 × 8 = 208
  2. Divide this result by denominator of the fraction: 208/3 = 69.333333333333

Since 208/3 is an improper fraction, the result could also be expressed as a mixed number: 69 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/3 of 26, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 3 = x 26 (where x represents 8/3 of 26)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 26 = 3 x
  2. Which gives: 208 = 3 x
  3. Divide both sides by 3 to isolate x: 208 3 = 3 x 3
  4. Which gives the result: 208 3 = x

Thus, 8/3 of 26 is equal to 208/3 (or 69.333333333333 in its decimal form).