What is 6/8 of 58?

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

How to calculate 6/8 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 6 = 348
  2. Divide this result by denominator of the fraction: 348/8 = 43.5
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 348/4 = 87
    • 8/4 = 2
  4. Which gives: 87/2

Since 87/2 is an improper fraction, the result could also be expressed as a mixed number: 43 1/2

How does it work?

The principle behind finding a fraction of a number, such as 6/8 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 6 8 = x 58 (where x represents 6/8 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 6 × 58 = 8 x
  2. Which gives: 348 = 8 x
  3. Divide both sides by 8 to isolate x: 348 8 = 8 x 8
  4. Which gives the result: 348 8 = x (or 87 2 = x )

Thus, 6/8 of 58 is equal to 87/2 (or 43.5 in its decimal form).