What is 6/8 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 6/8 of 11? We'll show you a straightforward method to achieve that.
How to calculate 6/8 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 6 = 66
- Divide this result by denominator of the fraction: 66/8 = 8.25
- Simplify by dividing both the numerator and denominator by their GCD (2):
- 66/2 = 33
- 8/2 = 4
- Which gives: 33/4
Since 33/4 is an improper fraction, the result could also be expressed as a mixed number: 8 1/4
How does it work?
The principle behind finding a fraction of a number, such as 6/8 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 6/8 of 11)
- Using the cross-multiplication method, multiply both numerators by their opposite denominators:
- Which gives:
- Divide both sides by 8 to isolate x:
- Which gives the result: (or )
Thus, 6/8 of 11 is equal to 33/4 (or 8.25 in its decimal form).