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The Deep Dive
To solve \( \frac{5}{16} + \frac{1}{6} \), you need a common denominator. The least common multiple of 16 and 6 is 48. So, convert both fractions: \( \frac{5}{16} = \frac{5 \times 3}{16 \times 3} = \frac{15}{48} \) \( \frac{1}{6} = \frac{1 \times 8}{6 \times 8} = \frac{8}{48} \) Now, add them together: \( \frac{15}{48} + \frac{8}{48} = \frac{23}{48} \) So, \( \frac{5}{16} + \frac{1}{6} = \frac{23}{48} \). When adding fractions, remember that finding the least common denominator is key! It helps avoid unnecessary complications. Many people mistakenly add the numerators and denominators directly without finding a common denominator first, which can lead to incorrect answers.
