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!