What is 9/4 of 73?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/4 of 73? We'll show you a straightforward method to achieve that.

How to calculate 9/4 of 73?

  1. Multiply the whole number by the numerator of the fraction: 73 × 9 = 657
  2. Divide this result by denominator of the fraction: 657/4 = 164.25

Since 657/4 is an improper fraction, the result could also be expressed as a mixed number: 164 1/4

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 73, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 4 = x 73 (where x represents 9/4 of 73)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 73 = 4 x
  2. Which gives: 657 = 4 x
  3. Divide both sides by 4 to isolate x: 657 4 = 4 x 4
  4. Which gives the result: 657 4 = x

Thus, 9/4 of 73 is equal to 657/4 (or 164.25 in its decimal form).