What is 9/4 of 7?

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

How to calculate 9/4 of 7?

  1. Multiply the whole number by the numerator of the fraction: 7 × 9 = 63
  2. Divide this result by denominator of the fraction: 63/4 = 15.75

Since 63/4 is an improper fraction, the result could also be expressed as a mixed number: 15 3/4

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 7, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 4 = x 7 (where x represents 9/4 of 7)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 7 = 4 x
  2. Which gives: 63 = 4 x
  3. Divide both sides by 4 to isolate x: 63 4 = 4 x 4
  4. Which gives the result: 63 4 = x

Thus, 9/4 of 7 is equal to 63/4 (or 15.75 in its decimal form).