(3) \( 2 \frac{1}{12}+4 \frac{7}{18}= \)
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To solve \( 2 \frac{1}{12}+4 \frac{7}{18} \), first convert the mixed numbers to improper fractions. \( 2 \frac{1}{12} = \frac{25}{12} \) and \( 4 \frac{7}{18} = \frac{79}{18} \). Now, find a common denominator, which is 36. Rewriting the fractions gives us \( \frac{25}{12} = \frac{75}{36} \) and \( \frac{79}{18} = \frac{158}{36} \). Adding these, \( \frac{75}{36} + \frac{158}{36} = \frac{233}{36} \), which can be converted back to a mixed number: \( 6 \frac{5}{36} \). So, \( 2 \frac{1}{12}+4 \frac{7}{18} = 6 \frac{5}{36} \). Here's a little tip: keep a list of common denominators on hand to speed up your calculations! Additionally, when you convert mixed numbers, double-check your calculations for accuracy to avoid common mistakes that can lead to confusion later.