Ответ:

To solve the equation 3 \frac{3}{5} \div x = 2 \frac{1}{4}, we can follow these steps:

Convert mixed numbers to improper fractions:

3 \frac{3}{5} = \frac{18}{5}

2 \frac{1}{4} = \frac{9}{4}

Invert the divisor and multiply:

3 \frac{3}{5} \div x = 2 \frac{1}{4}

\frac{18}{5} \div x = \frac{9}{4}

\frac{18}{5} \cdot \frac{4}{9} = x

Simplify:

x = \frac{72}{45}

x = \frac{8}{5}

Therefore, the solution to the equation 3 \frac{3}{5} \div x = 2 \frac{1}{4} is x = \frac{8}{5}.