Subtract. Write your answer as a fraction or as a whole or mixed number. \( 12 \frac{6}{8}-6 \frac{3}{8}= \) Submit
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The Deep Dive
First, let's convert the mixed numbers to improper fractions to make the subtraction easier. For \(12 \frac{6}{8}\), we have \(12 \times 8 + 6 = 96 + 6 = 102\), so it becomes \(\frac{102}{8}\). For \(6 \frac{3}{8}\), it's \(6 \times 8 + 3 = 48 + 3 = 51\), which makes it \(\frac{51}{8}\). Now we can subtract the two improper fractions: \[ \frac{102}{8} - \frac{51}{8} = \frac{102 - 51}{8} = \frac{51}{8} \] Next, we convert \(\frac{51}{8}\) back to a mixed number. Dividing \(51\) by \(8\), we get \(6\) with a remainder of \(3\), so it can be expressed as \(6 \frac{3}{8}\). Therefore, the final answer is \(6 \frac{3}{8}\).
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