What is 9/7 of 84?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 9/7 of 84? We'll show you a straightforward method to achieve that.
How to calculate 9/7 of 84?
- Multiply the whole number by the numerator of the fraction: 84 × 9 = 756
- Divide this result by denominator of the fraction: 756/7 = 108
- Simplify by dividing both the numerator and denominator by their GCD (7):
- 756/7 = 108
- 7/7 = 1
- Which gives: 108/1
How does it work?
The principle behind finding a fraction of a number, such as 9/7 of 84, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 9/7 of 84)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 7 to isolate x:
- Which gives the result: (or )
Thus, 9/7 of 84 is equal to 108/1 (or 108 in its decimal form).