What is 9/2 of 83?

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

How to calculate 9/2 of 83?

  1. Multiply the whole number by the numerator of the fraction: 83 × 9 = 747
  2. Divide this result by denominator of the fraction: 747/2 = 373.5

Since 747/2 is an improper fraction, the result could also be expressed as a mixed number: 373 1/2

How does it work?

The principle behind finding a fraction of a number, such as 9/2 of 83, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 2 = x 83 (where x represents 9/2 of 83)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 83 = 2 x
  2. Which gives: 747 = 2 x
  3. Divide both sides by 2 to isolate x: 747 2 = 2 x 2
  4. Which gives the result: 747 2 = x

Thus, 9/2 of 83 is equal to 747/2 (or 373.5 in its decimal form).