To convert the mixed number \( 5 \frac{2}{3} \) into an improper fraction, you'll follow these steps:
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Multiply the whole number (5) by the denominator (3): \( 5 \times 3 = 15 \).
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Add the result to the numerator (2): \( 15 + 2 = 17 \).
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Place the sum over the original denominator (3): \( \frac{17}{3} \).
So, \( 5 \frac{2}{3} = \frac{17}{3} \).