Yes, \(\frac{1}{8}\) > \(\frac{1}{11}\)
To compare these fractions, we need a common denominator. The denominators are 8 and 11, and the least common denominator (LCD) is 88.
A quicker way to compare fractions is to cross-multiply. Multiply each numerator by the other fraction's denominator:
Convert each fraction to a decimal by dividing the numerator by the denominator:
Since 0.125 is greater than 0.090909, we confirm that \(\frac{1}{8} > \frac{1}{11}\). In percentage terms, \(\frac{1}{8}\) is 12.5% and \(\frac{1}{11}\) is 9.0909%, a difference of 3.4091 percentage points.
When two fractions have the same numerator, you have the same number of pieces — but the pieces are different sizes. A smaller denominator means each piece is larger. Since 11ths are larger pieces than 8ths, \(\frac{1}{8}\) is the bigger fraction even though both have 1 in the numerator.
\(\frac{1}{8}\) is bigger. As a decimal, \(\frac{1}{8}\) = 0.125 while \(\frac{1}{11}\) = 0.090909.
The difference is \(\frac{3}{88}\), which equals 0.034091 in decimal form (3.4091 percentage points).
You can use three methods: find a common denominator and compare numerators, cross-multiply and compare the products, or convert both fractions to decimals. All three methods confirm that \(\frac{1}{8}\) \(>\) \(\frac{1}{11}\).