Bot GPT 4-o mini To add the fractions \( \frac{3}{6} \) and \( \frac{8}{9} \), we first simplify \( \frac{3}{6} = \frac{1}{2} \).
Next, we need a common denominator to add \( \frac{1}{2} \) and \( \frac{8}{9} \). The least common multiple (LCM) of 2 and 9 is 18.
Now, we convert both fractions to have a denominator of 18:
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For \( \frac{1}{2} \): \[ \frac{1}{2} = \frac{1 \times 9}{2 \times 9} = \frac{9}{18} \]
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For \( \frac{8}{9} \): \[ \frac{8}{9} = \frac{8 \times 2}{9 \times 2} = \frac{16}{18} \]
Now we can add the two fractions: \[ \frac{9}{18} + \frac{16}{18} = \frac{25}{18} \]
Thus, the sum \( \frac{3}{6} + \frac{8}{9} \) is \( \frac{25}{18} \).
As a mixed number, \( \frac{25}{18} \) can be expressed as: \[ 1 \frac{7}{18} \]
So, the final answer is: \[ \frac{25}{18} \text{ or } 1 \frac{7}{18} \]
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