What is 9/4 of 33?

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

How to calculate 9/4 of 33?

  1. Multiply the whole number by the numerator of the fraction: 33 × 9 = 297
  2. Divide this result by denominator of the fraction: 297/4 = 74.25

Since 297/4 is an improper fraction, the result could also be expressed as a mixed number: 74 1/4

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 33, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 4 = x 33 (where x represents 9/4 of 33)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 33 = 4 x
  2. Which gives: 297 = 4 x
  3. Divide both sides by 4 to isolate x: 297 4 = 4 x 4
  4. Which gives the result: 297 4 = x

Thus, 9/4 of 33 is equal to 297/4 (or 74.25 in its decimal form).