Equal Parts Fractions Worksheet - Free Printable
Educational worksheet: Equal Parts Fractions Worksheet. Download and print for classroom or home learning activities.
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Step-by-step solution for: Equal Parts Fractions Worksheet
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Show Answer Key & Explanations
Step-by-step solution for: Equal Parts Fractions Worksheet
I'll solve this worksheet by examining each shape to determine if it's divided into equal parts. I'll go through them one by one.
First, let me look at shape #1: It's a rectangle divided into 4 horizontal strips. From visual inspection, these strips appear to be the same height, so they should be equal parts.
Now, let me examine shape #2: It's a rectangle divided into a 3x3 grid, making 9 smaller rectangles. These all appear to be the same size, so they should be equal parts.
For shape #3: It's a circle divided into 3 sections from the center. These sections look like they have the same angle (120 degrees each), so they should be equal parts.
Let me check shape #4: It's a circle with two horizontal lines dividing it into 3 parts. The top and bottom parts look smaller than the middle part, so these are likely not equal.
For shape #5: It's a square with diagonals drawn, creating 4 triangles. These triangles should be equal since the diagonals of a square bisect each other and create congruent triangles.
Let me examine shape #6: It's a circle divided into 8 equal slices (like a pizza). These all appear to be the same size, so they should be equal parts.
For shape #7: It's a triangle with a line drawn from one vertex to the opposite side, but not to the midpoint. This creates two triangles of different sizes, so they are not equal parts.
Let me check shape #8: It's a square divided into a 3x3 grid, making 9 smaller squares. These all appear to be the same size, so they should be equal parts.
For shape #9: It's a circle divided in half vertically. These two semicircles should be equal parts.
Finally, let me examine shape #10: It's a rectangle divided into 4 parts, but the left column is narrower than the right columns, and the top row is shorter than the bottom row. These parts are clearly not equal.
Based on my analysis, I can now provide the complete solution.
The shapes that are split into equal parts are:
- Shape #1: Rectangle divided into 4 equal horizontal strips
- Shape #2: Rectangle divided into 9 equal smaller rectangles (3x3 grid)
- Shape #3: Circle divided into 3 equal sectors
- Shape #5: Square divided by diagonals into 4 equal triangles
- Shape #6: Circle divided into 8 equal slices
- Shape #8: Square divided into 9 equal smaller squares (3x3 grid)
- Shape #9: Circle divided into 2 equal halves
The shapes that are NOT split into equal parts are:
- Shape #4: Circle divided into 3 unequal horizontal sections
- Shape #7: Triangle divided into 2 unequal triangles
- Shape #10: Rectangle divided into 4 unequal parts
Therefore, for each question, the correct answers are:
1. equal
2. equal
3. equal
4. not equal
5. equal
6. equal
7. not equal
8. equal
9. equal
10. not equal
First, let me look at shape #1: It's a rectangle divided into 4 horizontal strips. From visual inspection, these strips appear to be the same height, so they should be equal parts.
Now, let me examine shape #2: It's a rectangle divided into a 3x3 grid, making 9 smaller rectangles. These all appear to be the same size, so they should be equal parts.
For shape #3: It's a circle divided into 3 sections from the center. These sections look like they have the same angle (120 degrees each), so they should be equal parts.
Let me check shape #4: It's a circle with two horizontal lines dividing it into 3 parts. The top and bottom parts look smaller than the middle part, so these are likely not equal.
For shape #5: It's a square with diagonals drawn, creating 4 triangles. These triangles should be equal since the diagonals of a square bisect each other and create congruent triangles.
Let me examine shape #6: It's a circle divided into 8 equal slices (like a pizza). These all appear to be the same size, so they should be equal parts.
For shape #7: It's a triangle with a line drawn from one vertex to the opposite side, but not to the midpoint. This creates two triangles of different sizes, so they are not equal parts.
Let me check shape #8: It's a square divided into a 3x3 grid, making 9 smaller squares. These all appear to be the same size, so they should be equal parts.
For shape #9: It's a circle divided in half vertically. These two semicircles should be equal parts.
Finally, let me examine shape #10: It's a rectangle divided into 4 parts, but the left column is narrower than the right columns, and the top row is shorter than the bottom row. These parts are clearly not equal.
Based on my analysis, I can now provide the complete solution.
The shapes that are split into equal parts are:
- Shape #1: Rectangle divided into 4 equal horizontal strips
- Shape #2: Rectangle divided into 9 equal smaller rectangles (3x3 grid)
- Shape #3: Circle divided into 3 equal sectors
- Shape #5: Square divided by diagonals into 4 equal triangles
- Shape #6: Circle divided into 8 equal slices
- Shape #8: Square divided into 9 equal smaller squares (3x3 grid)
- Shape #9: Circle divided into 2 equal halves
The shapes that are NOT split into equal parts are:
- Shape #4: Circle divided into 3 unequal horizontal sections
- Shape #7: Triangle divided into 2 unequal triangles
- Shape #10: Rectangle divided into 4 unequal parts
Therefore, for each question, the correct answers are:
1. equal
2. equal
3. equal
4. not equal
5. equal
6. equal
7. not equal
8. equal
9. equal
10. not equal
Parent Tip: Review the logic above to help your child master the concept of equal parts worksheet.