What is 8/7 of 6?

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

How to calculate 8/7 of 6?

  1. Multiply the whole number by the numerator of the fraction: 6 × 8 = 48
  2. Divide this result by denominator of the fraction: 48/7 = 6.8571428571429

Since 48/7 is an improper fraction, the result could also be expressed as a mixed number: 6 6/7

How does it work?

The principle behind finding a fraction of a number, such as 8/7 of 6, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 7 = x 6 (where x represents 8/7 of 6)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 6 = 7 x
  2. Which gives: 48 = 7 x
  3. Divide both sides by 7 to isolate x: 48 7 = 7 x 7
  4. Which gives the result: 48 7 = x

Thus, 8/7 of 6 is equal to 48/7 (or 6.8571428571429 in its decimal form).