Solve: Division of 4/9 by 6 - Step-by-Step Fraction Problem

To solve the problem $\frac{4}{9} : 6$, we follow these steps:

• Convert the whole number $6$ to its reciprocal, which is $\frac{1}{6}$.
• Rewrite the division as multiplication: $\frac{4}{9} \times \frac{1}{6}$.
• Multiply the numerators: $4 \times 1 = 4$.
• Multiply the denominators: $9 \times 6 = 54$.
• Write the result as a fraction: $\frac{4}{54}$.
• Simplify the fraction by finding the greatest common divisor of 4 and 54, which is 2.
• Divide both the numerator and the denominator by 2: $\frac{4 \div 2}{54 \div 2} = \frac{2}{27}$.

Therefore, the solution to the problem is $\frac{2}{27}$.