What is 5/8 of 97?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/8 of 97? We'll show you a straightforward method to achieve that.

How to calculate 5/8 of 97?

  1. Multiply the whole number by the numerator of the fraction: 97 × 5 = 485
  2. Divide this result by denominator of the fraction: 485/8 = 60.625

Since 485/8 is an improper fraction, the result could also be expressed as a mixed number: 60 5/8

How does it work?

The principle behind finding a fraction of a number, such as 5/8 of 97, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 8 = x 97 (where x represents 5/8 of 97)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 97 = 8 x
  2. Which gives: 485 = 8 x
  3. Divide both sides by 8 to isolate x: 485 8 = 8 x 8
  4. Which gives the result: 485 8 = x

Thus, 5/8 of 97 is equal to 485/8 (or 60.625 in its decimal form).