What is 1/9 of 27?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 1/9 of 27? We'll show you a straightforward method to achieve that.
How to calculate 1/9 of 27?
- Multiply the whole number by the numerator of the fraction: 27 × 1 = 27
- Divide this result by denominator of the fraction: 27/9 = 3
- Simplify by dividing both the numerator and denominator by their GCD (9):
- 27/9 = 3
- 9/9 = 1
- Which gives: 3/1
How does it work?
The principle behind finding a fraction of a number, such as 1/9 of 27, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/9 of 27)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 9 to isolate x:
- Which gives the result: (or )
Thus, 1/9 of 27 is equal to 3/1 (or 3 in its decimal form).