To convert the mixed number \( 5 \frac{7}{10} \) into an improper fraction, you follow these steps:
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Multiply the whole number (5) by the denominator of the fractional part (10): \[ 5 \times 10 = 50 \]
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Add the result to the numerator of the fractional part (7): \[ 50 + 7 = 57 \]
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The denominator remains the same (10).
Putting it all together, the improper fraction is: \[ \frac{57}{10} \]
So, \( 5 \frac{7}{10} = \frac{57}{10} \).