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To divide fractions, we multiply the first fraction by the reciprocal of the second value. 

The problem is:

\[
\frac{5}{6} \div 9
\]

We can rewrite this as:

\[
\frac{5}{6} \times \frac{1}{9}
\]

Now, multiply the numerators and denominators:

\[
\frac{5 \times 1}{6 \times 9} = \frac{5}{54}
\]

Thus, the simplified answer is:

\[
\frac{5}{54}
\]

Would you like more details or have any questions? 

Here are some related questions:
1. How do you divide fractions with whole numbers?
2. What is the reciprocal of a fraction, and how is it used in division?
3. How can you check if a fraction is in its simplest form?
4. What happens when dividing by 1, and why does the result not change?
5. How do you convert improper fractions to mixed numbers?

**Tip:** When dividing by a whole number, remember to turn that whole number into a fraction by writing it over 1, and then take its reciprocal for multiplication.

Divide 5/6 ÷ 9. Write your answer in simplest form.

Learn how to divide the fraction 5/6 by 9. This step-by-step guide explains how to use reciprocals to solve division problems with fractions. Perfect for students in Grades 5-7 learning fraction operations.

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