What is 6/8 of 79?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 6/8 of 79? We'll show you a straightforward method to achieve that.

How to calculate 6/8 of 79?

  1. Multiply the whole number by the numerator of the fraction: 79 × 6 = 474
  2. Divide this result by denominator of the fraction: 474/8 = 59.25
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 474/2 = 237
    • 8/2 = 4
  4. Which gives: 237/4

Since 237/4 is an improper fraction, the result could also be expressed as a mixed number: 59 1/4

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 79, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 8 = x 79 (where x represents 6/8 of 79)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 79 = 8 x
  2. Which gives: 474 = 8 x
  3. Divide both sides by 8 to isolate x: 474 8 = 8 x 8
  4. Which gives the result: 474 8 = x (or 237 4 = x )

Thus, 6/8 of 79 is equal to 237/4 (or 59.25 in its decimal form).