What is 1/10 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 1/10 of 22? We'll show you a straightforward method to achieve that.

How to calculate 1/10 of 22?

  1. Multiply the whole number by the numerator of the fraction: 22 × 1 = 22
  2. Divide this result by denominator of the fraction: 22/10 = 2.2
  3. Simplify by dividing both the numerator and denominator by their GCD (2):
    • 22/2 = 11
    • 10/2 = 5
  4. Which gives: 11/5

Since 11/5 is an improper fraction, the result could also be expressed as a mixed number: 2 1/5

How does it work?

The principle behind finding a fraction of a number, such as 1/10 of 22, is rooted in the method of cross-multiplication.

Consider the following proportion: 1 10 = x 22 (where x represents 1/10 of 22)

  1. Using the cross-multiplication method, multiply both numerators by their opposite denominators: 1 × 22 = 10 x
  2. Which gives: 22 = 10 x
  3. Divide both sides by 10 to isolate x: 22 10 = 10 x 10
  4. Which gives the result: 22 10 = x (or 11 5 = x )

Thus, 1/10 of 22 is equal to 11/5 (or 2.2 in its decimal form).