What is 10/3 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 10/3 of 11? We'll show you a straightforward method to achieve that.
How to calculate 10/3 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 10 = 110
- Divide this result by denominator of the fraction: 110/3 = 36.666666666667
Since 110/3 is an improper fraction, the result could also be expressed as a mixed number: 36 2/3
How does it work?
The principle behind finding a fraction of a number, such as 10/3 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 10/3 of 11)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 3 to isolate x:
- Which gives the result:
Thus, 10/3 of 11 is equal to 110/3 (or 36.666666666667 in its decimal form).