What is 4/5 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 4/5 of 11? We'll show you a straightforward method to achieve that.
How to calculate 4/5 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 4 = 44
- Divide this result by denominator of the fraction: 44/5 = 8.8
Since 44/5 is an improper fraction, the result could also be expressed as a mixed number: 8 4/5
How does it work?
The principle behind finding a fraction of a number, such as 4/5 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 4/5 of 11)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 5 to isolate x:
- Which gives the result:
Thus, 4/5 of 11 is equal to 44/5 (or 8.8 in its decimal form).