To convert the mixed number \( 1 \frac{5}{7} \) to an improper fraction, follow these steps:
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Multiply the whole number (1) by the denominator (7): \[ 1 \times 7 = 7 \]
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Add the numerator (5) to this result: \[ 7 + 5 = 12 \]
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The denominator remains the same (7), so you can express \( 1 \frac{5}{7} \) as: \[ \frac{12}{7} \]
Thus, \( 1 \frac{5}{7} = \frac{12}{7} \).
So, \( 1 \frac{5}{7} = \frac{12}{7} \).