What is 1/6 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 1/6 of 22? We'll show you a straightforward method to achieve that.
How to calculate 1/6 of 22?
- Multiply the whole number by the numerator of the fraction: 22 × 1 = 22
- Divide this result by denominator of the fraction: 22/6 = 3.6666666666667
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 22/2 = 11
- 6/2 = 3
- Which gives: 11/3
Since 11/3 is an improper fraction, the result could also be expressed as a mixed number: 3 2/3
How does it work?
The principle behind finding a fraction of a number, such as 1/6 of 22, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/6 of 22)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 6 to isolate x:
- Which gives the result: (or )
Thus, 1/6 of 22 is equal to 11/3 (or 3.6666666666667 in its decimal form).