Find \( \frac{3}{4} \div \frac{3}{10} \). Simplify the answer and write as a mixed number, if possible. \( \frac{9}{40} \) \( \frac{10}{4} \) \( \frac{2}{5} \) \( 2 \frac{1}{2} \)

To solve \( \frac{3}{4} \div \frac{3}{10} \), follow these steps: 1. **Understand Division of Fractions:** Dividing by a fraction is the same as multiplying by its reciprocal. So, \[ \frac{3}{4} \div \frac{3}{10} = \frac{3}{4} \times \frac{10}{3} \] 2. **Multiply the Fractions:** \[ \frac{3}{4} \times \frac{10}{3} = \frac{3 \times 10}{4 \times 3} = \frac{30}{12} \] 3. **Simplify the Fraction:** \[ \frac{30}{12} = \frac{5}{2} = 2 \frac{1}{2} \] (Here, \( \frac{5}{2} \) is converted to a mixed number by dividing 5 by 2, which equals 2 with a remainder of 1, hence \( 2 \frac{1}{2} \)). **Therefore, the simplified answer is:** **\( 2 \frac{1}{2} \)**