What is 7/2 of 13?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 7/2 of 13? We'll show you a straightforward method to achieve that.

How to calculate 7/2 of 13?

  1. Multiply the whole number by the numerator of the fraction: 13 × 7 = 91
  2. Divide this result by denominator of the fraction: 91/2 = 45.5

Since 91/2 is an improper fraction, the result could also be expressed as a mixed number: 45 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 13, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 2 = x 13 (where x represents 7/2 of 13)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 13 = 2 x
  2. Which gives: 91 = 2 x
  3. Divide both sides by 2 to isolate x: 91 2 = 2 x 2
  4. Which gives the result: 91 2 = x

Thus, 7/2 of 13 is equal to 91/2 (or 45.5 in its decimal form).