To solve \( 12 \frac{8}{15} - 7 + \frac{7}{15} + 15 \), we can break it down step by step.
First, convert all numbers into improper fractions or keep mixed numbers where they make sense.
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We can rewrite \( 12 \frac{8}{15} \) as an improper fraction: \[ 12 \frac{8}{15} = \frac{12 \times 15 + 8}{15} = \frac{180 + 8}{15} = \frac{188}{15} \]
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Convert \( 7 \) and \( 15 \) to fractions with a common denominator of 15: \[ 7 = \frac{7 \times 15}{15} = \frac{105}{15} \] \[ 15 = \frac{15 \times 15}{15} = \frac{225}{15} \]
Now we can substitute these fractions back into the expression: \[ \frac{188}{15} - \frac{105}{15} + \frac{7}{15} + \frac{225}{15} \]
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Combine the fractions: \[ \frac{188 - 105 + 7 + 225}{15} = \frac{188 - 105 + 7 + 225}{15} \] Calculating the numerator: \[ 188 - 105 = 83 \] \[ 83 + 7 = 90 \] \[ 90 + 225 = 315 \] So, we have: \[ \frac{315}{15} \]
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Simplifying \( \frac{315}{15} \): \[ \frac{315 \div 15}{15 \div 15} = \frac{21}{1} = 21 \]
Therefore, the answer is \( \boxed{21} \).
Final answer confirmed: D. 21.
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