Yes, \(\frac{1}{4}\) > \(\frac{1}{12}\)
To compare these fractions, we need a common denominator. The denominators are 4 and 12, and the least common denominator (LCD) is 12.
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 0.25 is greater than 0.083333, we confirm that \(\frac{1}{4} > \frac{1}{12}\). In percentage terms, \(\frac{1}{4}\) is 25% and \(\frac{1}{12}\) is 8.3333%, a difference of 16.6667 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 12ths are larger pieces than 4ths, \(\frac{1}{4}\) is the bigger fraction even though both have 1 in the numerator.
\(\frac{1}{4}\) is bigger. As a decimal, \(\frac{1}{4}\) = 0.25 while \(\frac{1}{12}\) = 0.083333.
The difference is \(\frac{1}{6}\), which equals 0.166667 in decimal form (16.6667 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 \(\frac{1}{4}\) \(>\) \(\frac{1}{12}\).