To convert the mixed number \(4 \frac{2}{3}\) into an improper fraction, follow these steps:
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Multiply the whole number (4) by the denominator (3): \[ 4 \times 3 = 12 \]
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Add the numerator (2) to this product: \[ 12 + 2 = 14 \]
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The denominator remains the same (3).
Putting it all together, \(4 \frac{2}{3}\) as an improper fraction is: \[ \frac{14}{3} \]