What is 5/2 of 65?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/2 of 65? We'll show you a straightforward method to achieve that.

How to calculate 5/2 of 65?

  1. Multiply the whole number by the numerator of the fraction: 65 × 5 = 325
  2. Divide this result by denominator of the fraction: 325/2 = 162.5

Since 325/2 is an improper fraction, the result could also be expressed as a mixed number: 162 1/2

How does it work?

The principle behind finding a fraction of a number, such as 5/2 of 65, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 2 = x 65 (where x represents 5/2 of 65)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 65 = 2 x
  2. Which gives: 325 = 2 x
  3. Divide both sides by 2 to isolate x: 325 2 = 2 x 2
  4. Which gives the result: 325 2 = x

Thus, 5/2 of 65 is equal to 325/2 (or 162.5 in its decimal form).