What is 5/6 of 11?
Often, in mathematics or everyday life, we need to find a fraction of a given number. For instance, how would you quickly calculate 5/6 of 11? We'll show you a straightforward method to achieve that.
How to calculate 5/6 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 5 = 55
- Divide this result by denominator of the fraction: 55/6 = 9.1666666666667
Since 55/6 is an improper fraction, the result could also be expressed as a mixed number: 9 1/6
How does it work?
The principle behind finding a fraction of a number, such as 5/6 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 5/6 of 11)
- 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, 5/6 of 11 is equal to 55/6 (or 9.1666666666667 in its decimal form).