What is 8/7 of 59?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/7 of 59? We'll show you a straightforward method to achieve that.

How to calculate 8/7 of 59?

  1. Multiply the whole number by the numerator of the fraction: 59 × 8 = 472
  2. Divide this result by denominator of the fraction: 472/7 = 67.428571428571

Since 472/7 is an improper fraction, the result could also be expressed as a mixed number: 67 3/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 59, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 7 = x 59 (where x represents 8/7 of 59)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 59 = 7 x
  2. Which gives: 472 = 7 x
  3. Divide both sides by 7 to isolate x: 472 7 = 7 x 7
  4. Which gives the result: 472 7 = x

Thus, 8/7 of 59 is equal to 472/7 (or 67.428571428571 in its decimal form).