What is 9/10 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 9/10 of 56? We'll show you a straightforward method to achieve that.

How to calculate 9/10 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: 504/10 = 50.4
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 504/2 = 252
    • 10/2 = 5
  4. Which gives: 252/5

Since 252/5 is an improper fraction, the result could also be expressed as a mixed number: 50 2/5

How does it work?

The principle behind finding a fraction of a number, such as 9/10 of 56, is rooted in the method of cross-multiplication.

Consider the following proportion: 9 10 = x 56 (where x represents 9/10 of 56)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 9 × 56 = 10 x
  2. Which gives: 504 = 10 x
  3. Divide both sides by 10 to isolate x: 504 10 = 10 x 10
  4. Which gives the result: 504 10 = x (or 252 5 = x )

Thus, 9/10 of 56 is equal to 252/5 (or 50.4 in its decimal form).