To solve \( 1 \frac{1}{7} \div 7 \frac{5}{6} \), follow these steps:

### Step 1: Convert the mixed numbers to improper fractions.
- \( 1 \frac{1}{7} = \frac{8}{7} \)
- \( 7 \frac{5}{6} = \frac{47}{6} \)

### Step 2: Rewrite the division as multiplication by the reciprocal.
- Division becomes multiplication by the reciprocal of \( \frac{47}{6} \). So, we have:
\[
\frac{8}{7} \times \frac{6}{47}
\]

### Step 3: Multiply the fractions.
\[
\frac{8}{7} \times \frac{6}{47} = \frac{8 \times 6}{7 \times 47} = \frac{48}{329}
\]

### Step 4: Simplify the result if possible.
The fraction \( \frac{48}{329} \) is already in its simplest form.

Thus, the result is:
\[
\frac{48}{329}
\]

Would you like further details or have any questions?

Here are 5 related questions to explore further:
1. How do you multiply two improper fractions?
2. What is the process of simplifying complex fractions?
3. Can you convert \( \frac{48}{329} \) into a decimal?
4. How do you handle division with mixed numbers in algebraic equations?
5. What are the common mistakes when dividing mixed numbers?

**Tip**: Always convert mixed numbers to improper fractions before performing arithmetic operations.

Learn how to divide mixed numbers, such as 1 1/7 ÷ 7 5/6, by converting them into improper fractions and multiplying by the reciprocal. Step-by-step solution provided, suitable for students in Grades 5-7.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation