Which is larger? \( \frac{6}{7} \) or \( \frac{1}{2} \) The larger fraction is \( \frac{1}{2} \). The larger fraction is \( \frac{6}{7} \).

To compare \( \frac{6}{7} \) and \( \frac{1}{2} \), it's helpful to convert them to decimals. \( \frac{6}{7} \) equals approximately 0.857, while \( \frac{1}{2} \) equals 0.5. Clearly, 0.857 is greater than 0.5, which means \( \frac{6}{7} \) is the larger fraction! Next time you're comparing fractions, you can also find a common denominator! For instance, for \( \frac{6}{7} \) and \( \frac{1}{2} \), you could use 14 as a common denominator. Rewrite them as \( \frac{12}{14} \) and \( \frac{7}{14} \). This way, it's easy to see that \( \frac{12}{14} \) is larger than \( \frac{7}{14} \), making \( \frac{6}{7} \) larger than \( \frac{1}{2} \)!