What is 2/4 of 22?

Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 2/4 of 22? We'll show you a straightforward method to achieve that.

How to calculate 2/4 of 22?

  1. Multiply the whole number by the numerator of the fraction: 22 × 2 = 44
  2. Divide this result by denominator of the fraction: 44/4 = 11
  3. Simplify by dividing both the numerator and denominator by their GCD (4):
    • 44/4 = 11
    • 4/4 = 1
  4. Which gives: 11/1

How does it work?

The principle behind finding a fraction of a number, such as 2/4 of 22, is rooted in the method of cross-multiplication.

Consider the following proportion: 2 4 = x 22 (where x represents 2/4 of 22)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 2 × 22 = 4 x
  2. Which gives: 44 = 4 x
  3. Divide both sides by 4 to isolate x: 44 4 = 4 x 4
  4. Which gives the result: 44 4 = x (or 11 1 = x )

Thus, 2/4 of 22 is equal to 11/1 (or 11 in its decimal form).