Bot GPT 4-o mini To multiply the fractions \( \frac{2}{3} \) by \( 1 \frac{2}{9} \), we first need to convert the mixed number \( 1 \frac{2}{9} \) into an improper fraction.
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Convert \( 1 \frac{2}{9} \) to an improper fraction: \[ 1 \frac{2}{9} = \frac{1 \times 9 + 2}{9} = \frac{9 + 2}{9} = \frac{11}{9} \]
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Now multiply \( \frac{2}{3} \) by \( \frac{11}{9} \): \[ \frac{2}{3} \times \frac{11}{9} = \frac{2 \times 11}{3 \times 9} = \frac{22}{27} \]
So, the answer is \( \frac{22}{27} \).
The correct option is A) \( \frac{22}{27} \).
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