Exit Divide fractions using models vinea Pick the model that represents this division equation. $$ \frac{3}{8} \div \frac{3}{4}=? $$ Hint: Use a related multiplication equation. $$ \square $$ $$ \square $$

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To divide fractions using models, we can use the concept of multiplying by the reciprocal. The division equation can be rewritten as a multiplication equation.

Given the equation:
$$
\frac{3}{8} \div \frac{3}{4}
$$

We can express this as:
$$
\frac{3}{8} \times \frac{4}{3}
$$

Now, let's break this down step by step:

1. **Identify the reciprocal**: The reciprocal of $$\frac{3}{4}$$ is $$\frac{4}{3}$$.

2. **Rewrite the division as multiplication**: 
   $$
   \frac{3}{8} \div \frac{3}{4} = \frac{3}{8} \times \frac{4}{3}
   $$

3. **Multiply the fractions**: To multiply fractions, multiply the numerators together and the denominators together:
   $$
   \frac{3 \times 4}{8 \times 3} = \frac{12}{24}
   $$

4. **Simplify the fraction**: 
   $$
   \frac{12}{24} = \frac{1}{2}
   $$

Thus, the result of the division $$\frac{3}{8} \div \frac{3}{4}$$ is:
$$
\frac{1}{2}
$$

### Model Representation
To represent this division equation using models, you can visualize it as follows:

- **Model 1**: A rectangle divided into 8 equal parts (representing the denominator of $$\frac{3}{8}$$), where 3 parts are shaded (representing the numerator).
- **Model 2**: A rectangle divided into 4 equal parts (representing the denominator of $$\frac{3}{4}$$), where 3 parts are shaded.

When you take $$\frac{3}{8}$$ and multiply it by the reciprocal $$\frac{4}{3}$$, you can visualize how the shaded parts relate to each other, ultimately showing that the result is $$\frac{1}{2}$$ of the original rectangle.

In summary, the division equation can be represented by the multiplication of the fraction $$\frac{3}{8}$$ by the reciprocal $$\frac{4}{3}$$, leading to the final answer of $$\frac{1}{2}$$.
To divide $$\frac{3}{8} \div \frac{3}{4}$$, multiply by the reciprocal: $$\frac{3}{8} \times \frac{4}{3} = \frac{1}{2}$$.

Exit Divide fractions using models vinea Pick the model that represents this division equation. \[ \frac{3}{8} \div \frac{3}{4}=? \] Hint: Use a related multiplication equation. \( \square \) \( \square \)

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