What is 2/8 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 2/8 of 58? We'll show you a straightforward method to achieve that.

How to calculate 2/8 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 2 = 116
  2. Divide this result by denominator of the fraction: 116/8 = 14.5
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 116/4 = 29
    • 8/4 = 2
  4. Which gives: 29/2

Since 29/2 is an improper fraction, the result could also be expressed as a mixed number: 14 1/2

How does it work?

The principle behind finding a fraction of a number, such as 2/8 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 8 = x 58 (where x represents 2/8 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 58 = 8 x
  2. Which gives: 116 = 8 x
  3. Divide both sides by 8 to isolate x: 116 8 = 8 x 8
  4. Which gives the result: 116 8 = x (or 29 2 = x )

Thus, 2/8 of 58 is equal to 29/2 (or 14.5 in its decimal form).