What is 2/4 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 2/4 of 11? We'll show you a straightforward method to achieve that.
How to calculate 2/4 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 2 = 22
- Divide this result by denominator of the fraction: 22/4 = 5.5
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 22/2 = 11
- 4/2 = 2
- Which gives: 11/2
Since 11/2 is an improper fraction, the result could also be expressed as a mixed number: 5 1/2
How does it work?
The principle behind finding a fraction of a number, such as 2/4 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 2/4 of 11)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 4 to isolate x:
- Which gives the result: (or )
Thus, 2/4 of 11 is equal to 11/2 (or 5.5 in its decimal form).