What is 8/6 of 71?
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 71? We'll show you a straightforward method to achieve that.
How to calculate 8/6 of 71?
- Multiply the whole number by the numerator of the fraction: 71 × 8 = 568
- Divide this result by denominator of the fraction: 568/6 = 94.666666666667
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 568/2 = 284
- 6/2 = 3
- Which gives: 284/3
Since 284/3 is an improper fraction, the result could also be expressed as a mixed number: 94 2/3
How does it work?
The principle behind finding a fraction of a number, such as 8/6 of 71, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 8/6 of 71)
- 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 71 is equal to 284/3 (or 94.666666666667 in its decimal form).