What is 5/3 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 5/3 of 58? We'll show you a straightforward method to achieve that.

How to calculate 5/3 of 58?

  1. Multiply the whole number by the numerator of the fraction: 58 × 5 = 290
  2. Divide this result by denominator of the fraction: 290/3 = 96.666666666667

Since 290/3 is an improper fraction, the result could also be expressed as a mixed number: 96 2/3

How does it work?

The principle behind finding a fraction of a number, such as 5/3 of 58, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 3 = x 58 (where x represents 5/3 of 58)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 58 = 3 x
  2. Which gives: 290 = 3 x
  3. Divide both sides by 3 to isolate x: 290 3 = 3 x 3
  4. Which gives the result: 290 3 = x

Thus, 5/3 of 58 is equal to 290/3 (or 96.666666666667 in its decimal form).