To solve the division of fractions:

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

The rule for dividing fractions is to multiply by the reciprocal of the second fraction. So we rewrite the expression as:

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

Now, multiply the numerators and the denominators:

\[
\frac{6 \times 5}{1 \times 9} = \frac{30}{9}
\]

Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 3:

\[
\frac{30 \div 3}{9 \div 3} = \frac{10}{3}
\]

Thus, the result is:

\[
\frac{10}{3}
\]

Would you like further explanation or have any questions?

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Here are 5 related questions:
1. How do you multiply two fractions together?
2. How do you convert a mixed number into an improper fraction?
3. What is the reciprocal of a fraction, and how is it used?
4. How do you simplify a fraction?
5. What is the least common denominator, and when is it used?

**Tip:** When dividing fractions, always remember to multiply by the reciprocal of the second fraction!

Learn how to divide fractions, specifically solving 6 ÷ 9/5 by applying the reciprocal rule and simplifying the result. This detailed solution walks through the process and is ideal for students in Grades 6-8.

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