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