\( \begin{array}{ll}\frac{5}{6}, \frac{1}{3} & \text { common } \\ \text { denominator: }\end{array} \)
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Extra Insights
To find a common denominator for the fractions \(\frac{5}{6}\) and \(\frac{1}{3}\), you can identify the least common multiple (LCM) of their denominators, which are 6 and 3. The LCM of 6 and 3 is 6. Thus, the common denominator is 6, allowing you to directly add or subtract these fractions without any additional adjustments. When you have fractions with different denominators, a common pitfall is neglecting to convert both fractions to have the same denominator before performing operations like addition or subtraction. In this case, while \(\frac{5}{6}\) is already over the common denominator, \(\frac{1}{3}\) needs to be adjusted: multiply both the numerator and denominator by 2 to get \(\frac{2}{6}\). Now they can be added or compared easily!
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