What is 8/6 of 31?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/6 of 31? We'll show you a straightforward method to achieve that.

How to calculate 8/6 of 31?

  1. Multiply the whole number by the numerator of the fraction: 31 × 8 = 248
  2. Divide this result by denominator of the fraction: 248/6 = 41.333333333333
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 248/2 = 124
    • 6/2 = 3
  4. Which gives: 124/3

Since 124/3 is an improper fraction, the result could also be expressed as a mixed number: 41 1/3

How does it work?

The principle behind finding a fraction of a number, such as 8/6 of 31, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 6 = x 31 (where x represents 8/6 of 31)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 31 = 6 x
  2. Which gives: 248 = 6 x
  3. Divide both sides by 6 to isolate x: 248 6 = 6 x 6
  4. Which gives the result: 248 6 = x (or 124 3 = x )

Thus, 8/6 of 31 is equal to 124/3 (or 41.333333333333 in its decimal form).