Bot GPT 4-o mini To express the fractions \( \frac{5}{6} \) and \( \frac{8}{9} \) with the same denominator, we want to find a common denominator.
The least common multiple (LCM) of the denominators 6 and 9 is 18.
Now, let's convert both fractions:
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For \( \frac{5}{6} \): \[ \frac{5}{6} = \frac{5 \times 3}{6 \times 3} = \frac{15}{18} \]
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For \( \frac{8}{9} \): \[ \frac{8}{9} = \frac{8 \times 2}{9 \times 2} = \frac{16}{18} \]
So, with the common denominator of 18, we have:
\[ \frac{5}{6} = \frac{15}{18} \quad \text{and} \quad \frac{8}{9} = \frac{16}{18} \]
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