Practice writing fractions based on shaded areas of various geometric shapes.

This is a fraction worksheet. The task is to write the fraction that each shaded shape represents. A fraction shows how many parts of a whole are being considered. The denominator (bottom number) is the total number of equal parts the shape is divided into, and the numerator (top number) is the number of those parts that are shaded.

I will go through each shape one by one to determine its fraction.

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First Row:

1. Shape 1 (Rectangle): This is already solved as an example. It's divided into 5 equal vertical strips, and 2 are shaded. So, the fraction is 2/5.
2. Shape 2 (Hexagon): The hexagon is divided into 6 equal triangles. 3 of them are shaded green. So, the fraction is 3/6. This can be simplified to 1/2.
3. Shape 3 (Circle): The circle is divided into 3 equal sectors. 2 of them are shaded orange. So, the fraction is 2/3.
4. Shape 4 (Diamond): The diamond is divided into 4 equal triangles. 1 of them is shaded yellow. So, the fraction is 1/4.
5. Shape 5 (Triangle): The large triangle is divided into 2 equal smaller triangles. 1 of them is shaded blue. So, the fraction is 1/2.

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Second Row:

1. Shape 6 (Circle): The circle is divided into 8 equal sectors. 2 of them are shaded orange. So, the fraction is 2/8. This can be simplified to 1/4.
2. Shape 7 (Square): The square is divided into 4 equal smaller squares. 2 of them are shaded red. So, the fraction is 2/4. This can be simplified to 1/2.
3. Shape 8 (Diamond): The diamond is divided into 4 equal triangles. 2 of them are shaded green. So, the fraction is 2/4. This can be simplified to 1/2.
4. Shape 9 (Rectangle): The rectangle is divided into 4 equal horizontal strips. 3 of them are shaded purple. So, the fraction is 3/4.
5. Shape 10 (Hexagon): The hexagon is divided into 6 equal triangles. 2 of them are shaded green. So, the fraction is 2/6. This can be simplified to 1/3.

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Here are the final answers for each blank:

- Shape 2: 3/6 or 1/2
- Shape 3: 2/3
- Shape 4: 1/4
- Shape 5: 1/2
- Shape 6: 2/8 or 1/4
- Shape 7: 2/4 or 1/2
- Shape 8: 2/4 or 1/2
- Shape 9: 3/4
- Shape 10: 2/6 or 1/3

For a standard worksheet, it's common to present the fractions in their simplest form. Therefore, the completed worksheet should look like this:

First Row:
- 2/5 (given)
- 1/2
- 2/3
- 1/4
- 1/2

Second Row:
- 1/4
- 1/2
- 1/2
- 3/4
- 1/3