What is 8/5 of 62?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/5 of 62? We'll show you a straightforward method to achieve that.

How to calculate 8/5 of 62?

  1. Multiply the whole number by the numerator of the fraction: 62 × 8 = 496
  2. Divide this result by denominator of the fraction: 496/5 = 99.2

Since 496/5 is an improper fraction, the result could also be expressed as a mixed number: 99 1/5

How does it work?

The principle behind finding a fraction of a number, such as 8/5 of 62, is rooted in the method of cross-multiplication.

Consider the following proportion: 8 5 = x 62 (where x represents 8/5 of 62)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 8 × 62 = 5 x
  2. Which gives: 496 = 5 x
  3. Divide both sides by 5 to isolate x: 496 5 = 5 x 5
  4. Which gives the result: 496 5 = x

Thus, 8/5 of 62 is equal to 496/5 (or 99.2 in its decimal form).