What is 7/2 of 23?

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

How to calculate 7/2 of 23?

  1. Multiply the whole number by the numerator of the fraction: 23 × 7 = 161
  2. Divide this result by denominator of the fraction: 161/2 = 80.5

Since 161/2 is an improper fraction, the result could also be expressed as a mixed number: 80 1/2

How does it work?

The principle behind finding a fraction of a number, such as 7/2 of 23, is rooted in the method of cross-multiplication.

Consider the following proportion: 7 2 = x 23 (where x represents 7/2 of 23)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 7 × 23 = 2 x
  2. Which gives: 161 = 2 x
  3. Divide both sides by 2 to isolate x: 161 2 = 2 x 2
  4. Which gives the result: 161 2 = x

Thus, 7/2 of 23 is equal to 161/2 (or 80.5 in its decimal form).