To convert the improper fraction \( \frac{129}{13} \) into a mixed number, you can follow these steps:
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Divide the numerator by the denominator: \[ 129 \div 13 = 9 \quad \text{(this is the whole number part)} \]
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Calculate the remainder: \[ 129 - (13 \times 9) = 129 - 117 = 12 \quad \text{(this is the remainder)} \]
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Write it as a mixed number: The mixed number will be the whole number part plus the remainder over the original denominator: \[ 9 \frac{12}{13} \]
So, \( \frac{129}{13} \) as a mixed number is \( 9 \frac{12}{13} \).