What is 7/6 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 7/6 of 71? We'll show you a straightforward method to achieve that.
How to calculate 7/6 of 71?
- Multiply the whole number by the numerator of the fraction: 71 × 7 = 497
- Divide this result by denominator of the fraction: 497/6 = 82.833333333333
Since 497/6 is an improper fraction, the result could also be expressed as a mixed number: 82 5/6
How does it work?
The principle behind finding a fraction of a number, such as 7/6 of 71, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 7/6 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:
Thus, 7/6 of 71 is equal to 497/6 (or 82.833333333333 in its decimal form).