What is 8/6 of 96?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 8/6 of 96? We'll show you a straightforward method to achieve that.
How to calculate 8/6 of 96?
- Multiply the whole number by the numerator of the fraction: 96 × 8 = 768
- Divide this result by denominator of the fraction: 768/6 = 128
- Simplify by dividing both the numerator and denominator by their GCD (6):
- 768/6 = 128
- 6/6 = 1
- Which gives: 128/1
How does it work?
The principle behind finding a fraction of a number, such as 8/6 of 96, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/6 of 96)
- 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, 8/6 of 96 is equal to 128/1 (or 128 in its decimal form).