What is 9/4 of 48?

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

How to calculate 9/4 of 48?

  1. Multiply the whole number by the numerator of the fraction: 48 × 9 = 432
  2. Divide this result by denominator of the fraction: 432/4 = 108
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 432/4 = 108
    • 4/4 = 1
  4. Which gives: 108/1

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 48, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 4 = x 48 (where x represents 9/4 of 48)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 48 = 4 x
  2. Which gives: 432 = 4 x
  3. Divide both sides by 4 to isolate x: 432 4 = 4 x 4
  4. Which gives the result: 432 4 = x (or 108 1 = x )

Thus, 9/4 of 48 is equal to 108/1 (or 108 in its decimal form).