To multiply eight ninths by one twelfth, you multiply the numerators and the denominators. This gives you ( \frac{8 \times 1}{9 \times 12} = \frac{8}{108} ). Simplifying ( \frac{8}{108} ) by dividing both the numerator and denominator by 4 results in ( \frac{2}{27} ). Therefore, eight ninths times one twelfth equals ( \frac{2}{27} ).
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