8. $$ \frac{3}{4} \div 5=\frac{3}{4} imes \frac{1}{5} $$

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8. $$ \frac{3}{4} \div 5=\frac{3}{4} 	imes \frac{1}{5} $$

UpStudy AI · Accepted Answer

Yes, the equation you've provided is correct. Let's break it down step by step to understand why:

$$
\frac{3}{4} \div 5 = \frac{3}{4} \times \frac{1}{5}
$$

### Explanation:

1. **Understanding Division of Fractions:**
   
   Dividing by a number is the same as multiplying by its reciprocal. The **reciprocal** of a number is **1 divided by that number**.

2. **Applying the Reciprocal:**
   
   - You have the fraction $$\frac{3}{4}$$ and you want to divide it by 5.
   - To divide by 5, multiply $$\frac{3}{4}$$ by the reciprocal of 5.
   - The reciprocal of 5 is $$\frac{1}{5}$$.

3. **Setting Up the Multiplication:**
   
   $$
   \frac{3}{4} \div 5 = \frac{3}{4} \times \frac{1}{5}
   $$

4. **Performing the Multiplication:**
   
   Multiply the numerators together and the denominators together:

$$
   \frac{3}{4} \times \frac{1}{5} = \frac{3 \times 1}{4 \times 5} = \frac{3}{20}
   $$

### Final Answer:

$$
\frac{3}{4} \div 5 = \frac{3}{20}
$$

So, dividing $$\frac{3}{4}$$ by 5 is equivalent to multiplying $$\frac{3}{4}$$ by $$\frac{1}{5}$$, which results in $$\frac{3}{20}$$.
$$ \frac{3}{4} \div 5 = \frac{3}{20} $$

8. \( \frac{3}{4} \div 5=\frac{3}{4} \times \frac{1}{5} \)

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