What is 4/8 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 4/8 of 58? We'll show you a straightforward method to achieve that.

How to calculate 4/8 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 4 = 232
  2. Divide this result by denominator of the fraction: 232/8 = 29
  3. Simplify by dividing both the numerator and denominator by their GCD (8):
    • 232/8 = 29
    • 8/8 = 1
  4. Which gives: 29/1

How does it work?

The principle behind finding a fraction of a number, such as 4/8 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 4 8 = x 58 (where x represents 4/8 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 4 × 58 = 8 x
  2. Which gives: 232 = 8 x
  3. Divide both sides by 8 to isolate x: 232 8 = 8 x 8
  4. Which gives the result: 232 8 = x (or 29 1 = x )

Thus, 4/8 of 58 is equal to 29/1 (or 29 in its decimal form).