What is 1/8 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 1/8 of 11? We'll show you a straightforward method to achieve that.
How to calculate 1/8 of 11?
- Multiply the whole number by the numerator of the fraction: 11 × 1 = 11
- Divide this result by denominator of the fraction: 11/8 = 1.375
Since 11/8 is an improper fraction, the result could also be expressed as a mixed number: 1 3/8
How does it work?
The principle behind finding a fraction of a number, such as 1/8 of 11, is rooted in the method of cross-multiplication.
Consider the following proportion: (where x represents 1/8 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:
Thus, 1/8 of 11 is equal to 11/8 (or 1.375 in its decimal form).