https://file.aiquickdraw.com/mathbot/file/1727016174044h9j838f3.jpg

Give the solution in the orange color below

Let's trace the path in the maze based on the orange markings.

1. The starting point shows the expression \( 10 \times \frac{1}{5} \). This simplifies to:
   \[
   10 \times \frac{1}{5} = \frac{10}{5} = 2
   \]
   This leads us to the next box.

2. The next box has \( \frac{7}{10} \div \frac{10}{11} \). To solve this, we multiply by the reciprocal of the second fraction:
   \[
   \frac{7}{10} \times \frac{11}{10} = \frac{7 \times 11}{10 \times 10} = \frac{77}{100}
   \]
   This leads to the next box.

3. The third box shows \( \frac{1}{3} \times \frac{1}{4} \times \frac{1}{5} \). Multiplying all the fractions together:
   \[
   \frac{1}{3} \times \frac{1}{4} \times \frac{1}{5} = \frac{1}{60}
   \]
   This takes us to the next orange-marked box.

4. In the fourth box, the expression is \( 8 \div \frac{4}{5} \). Dividing by a fraction is the same as multiplying by its reciprocal:
   \[
   8 \times \frac{5}{4} = \frac{8 \times 5}{4} = \frac{40}{4} = 10
   \]
   This leads to the last box.

5. Finally, the last box has the expression \( \frac{2}{5} \times 6 \times \frac{4}{5} \). Multiplying everything together:
   \[
   \frac{2}{5} \times 6 = \frac{12}{5}
   \quad \text{and then} \quad \frac{12}{5} \times \frac{4}{5} = \frac{12 \times 4}{5 \times 5} = \frac{48}{25}
   \]
   Therefore, the final answer is \( \frac{48}{25} \).

This concludes the path traced by the orange markings, and the final expression gives \( \frac{48}{25} \).

Would you like any further details or have any questions?

### Related Questions:
1. How do you multiply fractions with whole numbers?
2. What are the steps to divide by a fraction?
3. Why is multiplying by a reciprocal the same as dividing?
4. How can you simplify complex fraction operations efficiently?
5. How do mixed numbers affect multiplication and division of fractions?

### Tip:
Always remember to simplify your fractions at each step to avoid handling large numbers!

Multiplying and Dividing Fraction Maze - Find the path through the maze by solving fraction multiplication and division problems.

Solve a fraction maze involving multiplying and dividing fractions. This problem includes operations such as simplifying, multiplying by reciprocals, and managing mixed numbers. Suitable for middle school students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation