Question

1 \frac{3}{5} \div \frac{9}{11}

Explanation:

Step1: Rewrite division as multiplication

Dividing by a fraction is multiplying by its reciprocal:
$\frac{3}{5} \div \frac{9}{11} = \frac{3}{5} \times \frac{11}{9}$

Step2: Simplify and multiply numerators/denominators

Cancel common factor 3, then multiply:
$\frac{3}{5} \times \frac{11}{9} = \frac{1}{5} \times \frac{11}{3} = \frac{1 \times 11}{5 \times 3}$

Step3: Calculate final product

Compute the resulting fraction:
$\frac{11}{15}$

Answer:

$\frac{11}{15}$