4/9÷6

To solve the division problem \frac{4}{9} \div 6, we first convert the division into multiplication by using the reciprocal of the divisor:

Step 1: Convert division to multiplication:
\frac{4}{9} \div 6 = \frac{4}{9} \times \frac{1}{6}

Step 2: Multiply the fractions:
\frac{4}{9} \times \frac{1}{6} = \frac{4 \times 1}{9 \times 6} = \frac{4}{54}

Step 3: Simplify the fraction:
\frac{4}{54} = \frac{2}{27}

Therefore, \frac{4}{9} \div 6 = \frac{2}{27}

\boxed{\frac{2}{27}} is the final answer.