Divide. Write your answer in lowest terms. $$ \frac{3}{4} \div \frac{9}{2} $$ 27

Question

UpStudy AI · Accepted Answer

To divide the fractions $$\frac{3}{4}$$ by $$\frac{9}{2}$$, follow these steps:

1. **Rewrite the division as multiplication by the reciprocal:**
   $$
   \frac{3}{4} \div \frac{9}{2} = \frac{3}{4} \times \frac{2}{9}
   $$

2. **Multiply the numerators and the denominators:**
   $$
   \frac{3 \times 2}{4 \times 9} = \frac{6}{36}
   $$

3. **Simplify the fraction to its lowest terms:**
   $$
   \frac{6}{36} = \frac{1}{6}
   $$

**Final Answer:**
$$
\frac{1}{6}
$$
$$\frac{1}{6}$$

Divide. Write your answer in lowest terms. \( \frac{3}{4} \div \frac{9}{2} \) 27