To convert the mixed number \( 1 \frac{39}{49} \) into an improper fraction, follow these steps:
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Multiply the whole number (1) by the denominator (49): \[ 1 \times 49 = 49 \]
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Add the numerator (39) to the result from step 1: \[ 49 + 39 = 88 \]
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Write the sum over the original denominator (49): \[ \frac{88}{49} \]
Therefore, \( 1 \frac{39}{49} \) as an improper fraction is \( \frac{88}{49} \).