What is 9/2 of 27?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/2 of 27? We'll show you a straightforward method to achieve that.

How to calculate 9/2 of 27?

  1. Multiply the whole number by the numerator of the fraction: 27 × 9 = 243
  2. Divide this result by denominator of the fraction: 243/2 = 121.5

Since 243/2 is an improper fraction, the result could also be expressed as a mixed number: 121 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/2 of 27, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 2 = x 27 (where x represents 9/2 of 27)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 27 = 2 x
  2. Which gives: 243 = 2 x
  3. Divide both sides by 2 to isolate x: 243 2 = 2 x 2
  4. Which gives the result: 243 2 = x

Thus, 9/2 of 27 is equal to 243/2 (or 121.5 in its decimal form).