What is 9/4 of 56?

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

How to calculate 9/4 of 56?

  1. Multiply the whole number by the numerator of the fraction: 56 × 9 = 504
  2. Divide this result by denominator of the fraction: 504/4 = 126
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 504/4 = 126
    • 4/4 = 1
  4. Which gives: 126/1

How does it work?

The principle behind finding a fraction of a number, such as 9/4 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 4 = x 56 (where x represents 9/4 of 56)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 56 = 4 x
  2. Which gives: 504 = 4 x
  3. Divide both sides by 4 to isolate x: 504 4 = 4 x 4
  4. Which gives the result: 504 4 = x (or 126 1 = x )

Thus, 9/4 of 56 is equal to 126/1 (or 126 in its decimal form).