To find the quotient of \( \frac{8}{9} \div 6 \), you can rewrite the division as multiplication by the reciprocal:
\[ \frac{8}{9} \div 6 = \frac{8}{9} \times \frac{1}{6} \]
Now, multiply the two fractions:
\[ \frac{8 \times 1}{9 \times 6} = \frac{8}{54} \]
Next, simplify \( \frac{8}{54} \):
Both the numerator and the denominator can be divided by 2:
\[ \frac{8 \div 2}{54 \div 2} = \frac{4}{27} \]
Thus, the quotient of \( \frac{8}{9} \div 6 \) is
\[ \frac{4}{27} \]
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