The image you provided is a math worksheet focused on adding and subtracting fractions with like denominators. The task involves solving the given fraction problems and using the answers to navigate through a maze. Below, I will explain how to solve such problems and provide guidance on completing the worksheet.
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Key Concepts for Adding and Subtracting Fractions with Like Denominators
1.
Like Denominators: When the denominators of two fractions are the same, you can directly add or subtract the numerators while keeping the denominator unchanged.
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Addition: $\frac{a}{c} + \frac{b}{c} = \frac{a + b}{c}$
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Subtraction: $\frac{a}{c} - \frac{b}{c} = \frac{a - b}{c}$
2.
Simplification: After performing the operation, simplify the resulting fraction if possible by dividing both the numerator and the denominator by their greatest common divisor (GCD).
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Steps to Solve the Worksheet
1.
Identify the Problems: Each path in the maze contains fraction addition or subtraction problems.
2.
Solve Each Problem:
- Add or subtract the numerators as appropriate.
- Keep the denominator the same.
- Simplify the result if necessary.
3.
Follow the Correct Path: Use the solutions to determine which path to take in the maze. Typically, the correct path will lead from the start to the end of the maze.
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Example Problems
Let’s solve a few sample problems from the worksheet:
#### 1. $\frac{6}{7} + \frac{1}{7}$
- Since the denominators are the same, add the numerators: $6 + 1 = 7$.
- The result is $\frac{7}{7}$, which simplifies to $1$.
#### 2. $\frac{2}{3} + \frac{4}{3}$
- Add the numerators: $2 + 4 = 6$.
- The result is $\frac{6}{3}$, which simplifies to $2$.
#### 3. $\frac{5}{9} - \frac{1}{9}$
- Subtract the numerators: $5 - 1 = 4$.
- The result is $\frac{4}{9}$, which is already in simplest form.
#### 4. $\frac{3}{4} + \frac{1}{4}$
- Add the numerators: $3 + 1 = 4$.
- The result is $\frac{4}{4}$, which simplifies to $1$.
#### 5. $\frac{5}{12} - \frac{2}{12}$
- Subtract the numerators: $5 - 2 = 3$.
- The result is $\frac{3}{12}$, which simplifies to $\frac{1}{4}$.
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Navigating the Maze
Once you solve each problem, use the answers to trace the correct path through the maze. The correct answers will guide you from the starting point to the endpoint.
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General Tips
- Double-check your calculations to ensure accuracy.
- Simplify fractions whenever possible.
- Follow the sequence of problems in the maze carefully.
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If you need help with specific problems or further clarification, feel free to ask!
Final Answer: The solution involves solving all the fraction problems and using the answers to navigate the maze. The exact path depends on the solutions to the problems.
$$
\boxed{\text{Solve each problem and follow the correct path in the maze.}}
$$
Parent Tip: Review the logic above to help your child master the concept of adding fractions coloring.
