To convert the improper fraction \( \frac{126}{19} \) to a mixed number, we first perform the division of 126 by 19.
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Divide 126 by 19: \[ 126 \div 19 = 6 \] (since \( 19 \times 6 = 114 \))
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Find the remainder: \[ 126 - 114 = 12 \]
So, we can express \( \frac{126}{19} \) as:
\[ 6 \frac{12}{19} \]
Thus, the mixed number is \( 6 \frac{12}{19} \).
Therefore, the correct answer is A 6 12/19.