What is 5/2 of 67?

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 67? We'll show you a straightforward method to achieve that.

How to calculate 5/2 of 67?

  1. Multiply the whole number by the numerator of the fraction: 67 × 5 = 335
  2. Divide this result by denominator of the fraction: 335/2 = 167.5

Since 335/2 is an improper fraction, the result could also be expressed as a mixed number: 167 1/2

How does it work?

The principle behind finding a fraction of a number, such as 5/2 of 67, is rooted in the method of cross-multiplication.

Consider the following proportion: 5 2 = x 67 (where x represents 5/2 of 67)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 5 × 67 = 2 x
  2. Which gives: 335 = 2 x
  3. Divide both sides by 2 to isolate x: 335 2 = 2 x 2
  4. Which gives the result: 335 2 = x

Thus, 5/2 of 67 is equal to 335/2 (or 167.5 in its decimal form).