What is 9/6 of 15?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/6 of 15? We'll show you a straightforward method to achieve that.
How to calculate 9/6 of 15?
- Multiply the whole number by the numerator of the fraction: 15 × 9 = 135
- Divide this result by denominator of the fraction: 135/6 = 22.5
- Simplify by dividing both the numerator and denominator by their GCD (3):
- 135/3 = 45
- 6/3 = 2
- Which gives: 45/2
Since 45/2 is an improper fraction, the result could also be expressed as a mixed number: 22 1/2
How does it work?
The principle behind finding a fraction of a number, such as 9/6 of 15, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/6 of 15)
- 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, 9/6 of 15 is equal to 45/2 (or 22.5 in its decimal form).