4) $$ \frac{2}{3} \div \frac{3}{4}= $$

Question

UpStudy AI · Accepted Answer

To solve the division of two fractions, $$\frac{2}{3}$$ divided by $$\frac{3}{4}$$, follow these steps:

**Step 1: Rewrite the Division as Multiplication**

Dividing by a fraction is the same as multiplying by its reciprocal. The reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$.

$$
\frac{2}{3} \div \frac{3}{4} = \frac{2}{3} \times \frac{4}{3}
$$

**Step 2: Multiply the Numerators and the Denominators**

Multiply the numerators (top numbers) together and the denominators (bottom numbers) together:

$$
\frac{2 \times 4}{3 \times 3} = \frac{8}{9}
$$

**Final Answer:**

$$
\frac{2}{3} \div \frac{3}{4} = \frac{8}{9}
$$
$$ \frac{2}{3} \div \frac{3}{4} = \frac{8}{9} $$

4) \( \frac{2}{3} \div \frac{3}{4}= \)