The image you uploaded is a math worksheet focused on dividing fractions. The task involves solving fraction division problems and coloring the corresponding shapes based on the answers. Below, I will explain how to solve one of the fraction division problems as an example and provide a general approach for solving such problems.
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General Approach to Dividing Fractions
To divide two fractions, follow these steps:
1.
Keep the first fraction unchanged.
2.
Change the division sign (÷) to multiplication (×).
3.
Flip (take the reciprocal) of the second fraction.
4.
Multiply the numerators together and the denominators together.
5.
Simplify the resulting fraction if possible.
Example Problem:
Let's solve one of the problems from the worksheet:
Divide \( \frac{3}{8} \div \frac{1}{2} \)
#### Step-by-Step Solution:
1.
Keep the first fraction unchanged:
\( \frac{3}{8} \)
2.
Change the division sign to multiplication:
\( \frac{3}{8} \times \)
3.
Flip the second fraction (\( \frac{1}{2} \)):
The reciprocal of \( \frac{1}{2} \) is \( \frac{2}{1} \).
4.
Multiply the fractions:
\( \frac{3}{8} \times \frac{2}{1} = \frac{3 \times 2}{8 \times 1} = \frac{6}{8} \)
5.
Simplify the result:
\( \frac{6}{8} \) can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 2:
\( \frac{6 \div 2}{8 \div 2} = \frac{3}{4} \)
So, \( \frac{3}{8} \div \frac{1}{2} = \frac{3}{4} \).
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Explanation of the Worksheet
The worksheet contains various fraction division problems, and each problem corresponds to a specific shape in the design. After solving each problem, you would color the shape according to the answer provided in the key (not shown here but typically included in such worksheets).
For example:
- If the answer to a problem is \( \frac{3}{4} \), you would find all shapes labeled with \( \frac{3}{4} \) and color them using the color assigned to that answer in the key.
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How to Solve All Problems
1. Identify each fraction division problem in the worksheet.
2. Apply the steps outlined above to solve each problem.
3. Match the solution to the corresponding shape in the design.
4. Color the shapes according to the key provided in the worksheet.
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If you need help with any specific problem or further clarification, feel free to ask!
Final Answer:
The general method for solving fraction division problems is to multiply by the reciprocal of the divisor. For the example problem \( \frac{3}{8} \div \frac{1}{2} \), the solution is \( \boxed{\frac{3}{4}} \).
Parent Tip: Review the logic above to help your child master the concept of multiplying and dividing fractions coloring pages.
