What is 9/6 of 82?
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 82? We'll show you a straightforward method to achieve that.
How to calculate 9/6 of 82?
- Multiply the whole number by the numerator of the fraction: 82 × 9 = 738
- Divide this result by denominator of the fraction: 738/6 = 123
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 738/6 = 123
- 6/6 = 1
- Which gives: 123/1
How does it work?
The principle behind finding a fraction of a number, such as 9/6 of 82, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/6 of 82)
- 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 82 is equal to 123/1 (or 123 in its decimal form).