Divide. Write a mixed numeral for the answer whenever possible.



-5(2/3) ÷ 4(6/7)

To divide \(-5 \frac{2}{3}\) by \(4 \frac{6}{7}\), follow these steps:

### Step 1: Convert mixed numbers to improper fractions.
- \(-5 \frac{2}{3}\) = \(\frac{-17}{3}\)
- \(4 \frac{6}{7}\) = \(\frac{34}{7}\)

### Step 2: Apply the division rule for fractions.
Dividing by a fraction is the same as multiplying by its reciprocal:
\[
\frac{-17}{3} \div \frac{34}{7} = \frac{-17}{3} \times \frac{7}{34}
\]

### Step 3: Multiply the fractions.
Multiply the numerators and denominators:
\[
\frac{-17 \times 7}{3 \times 34} = \frac{-119}{102}
\]

### Step 4: Simplify the fraction if possible.
Since \(\frac{-119}{102}\) cannot be simplified further, we convert it to a mixed number.

### Step 5: Convert the improper fraction to a mixed number.
\[
\frac{-119}{102} = -1 \frac{17}{102}
\]
Thus, \(-5 \frac{2}{3} \div 4 \frac{6}{7} = -1 \frac{17}{102}\).

Would you like more details or have any questions about this?

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Here are 5 related questions:
1. How do you multiply mixed numbers?
2. What is the process for dividing two improper fractions?
3. How can you simplify improper fractions before dividing?
4. What is the importance of finding the reciprocal when dividing fractions?
5. Can you explain how to convert any improper fraction into a mixed number?

**Tip:** Always simplify fractions before multiplying or dividing to make calculations easier.

Divide. Write a mixed numeral for the answer whenever possible.

-5(2/3) ÷ 4(6/7)

Learn how to divide mixed numbers with a step-by-step guide. This example shows the division of -5(2/3) by 4(6/7), covering key concepts like converting mixed numbers to improper fractions, multiplying by reciprocals, and simplifying the result to a mixed number. Suitable for Grades 6-8.

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