Comparing Fractions Visually - Free Math Worksheets - Free Printable
Educational worksheet: Comparing Fractions Visually - Free Math Worksheets. Download and print for classroom or home learning activities.
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Step-by-step solution for: Comparing Fractions Visually - Free Math Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Comparing Fractions Visually - Free Math Worksheets
- First, look closely: The image displays a worksheet titled "Comparing Fractions" with multiple pairs of shapes. Each shape is divided into equal parts, with some parts shaded to represent a fraction. Below each pair, there are blank boxes for writing the fractions and a central box for placing a comparison symbol (>, <, or =). The task is to fill in these blanks by comparing the two fractions represented by the visual models.
- Next, find information: I will analyze each pair of shapes one by one to determine the fraction it represents and then compare them. I'll start from the top left and proceed row by row.
- Then, review the findings: I have identified all the shapes and their corresponding fractions. I will now calculate the value of each fraction and compare them to determine the correct symbol.
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1. Top Left Pair: The first rectangle is divided into 6 parts with 4 shaded, representing 4/6. The second rectangle is divided into 8 parts with 4 shaded, representing 4/8. Since 4/6 is greater than 4/8, the symbol is `>`.
2. Top Right Pair: The first square is divided into 9 parts with 8 shaded, representing 8/9. The second square is divided into 9 parts with 7 shaded, representing 7/9. Since 8/9 is greater than 7/9, the symbol is `>`.
3. Second Row Left Pair: The first diamond is divided into 4 parts with 1 shaded, representing 1/4. The second diamond is divided into 4 parts with 2 shaded, representing 2/4. Since 1/4 is less than 2/4, the symbol is `<`.
4. Second Row Right Pair: The first triangle is divided into 4 parts with 3 shaded, representing 3/4. The second triangle is divided into 8 parts with 5 shaded, representing 5/8. To compare, convert to a common denominator: 3/4 = 6/8, and 6/8 > 5/8, so the symbol is `>`.
5. Third Row Left Pair: The first rectangle is divided into 8 parts with 5 shaded, representing 5/8. The second rectangle is divided into 8 parts with 4 shaded, representing 4/8. Since 5/8 is greater than 4/8, the symbol is `>`.
6. Third Row Right Pair: The first diamond is divided into 4 parts with 2 shaded, representing 2/4. The second diamond is divided into 4 parts with 1 shaded, representing 1/4. Since 2/4 is greater than 1/4, the symbol is `>`.
7. Fourth Row Left Pair: The first shape is divided into 8 parts with 5 shaded, representing 5/8. The second shape is divided into 8 parts with 3 shaded, representing 3/8. Since 5/8 is greater than 3/8, the symbol is `>`.
8. Fourth Row Right Pair: The first circle is divided into 2 parts with 1 shaded, representing 1/2. The second circle is divided into 4 parts with 2 shaded, representing 2/4. Since 1/2 is equal to 2/4, the symbol is `=`.
9. Fifth Row Left Pair: The first square is divided into 4 parts with 3 shaded, representing 3/4. The second square is divided into 4 parts with 2 shaded, representing 2/4. Since 3/4 is greater than 2/4, the symbol is `>`.
10. Fifth Row Right Pair: The first square is divided into 4 parts with 3 shaded, representing 3/4. The second square is divided into 16 parts with 12 shaded, representing 12/16. Since 3/4 is equal to 12/16, the symbol is `=`.
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- Final Answer:
- 4/6 > 4/8
- 8/9 > 7/9
- 1/4 < 2/4
- 3/4 > 5/8
- 5/8 > 4/8
- 2/4 > 1/4
- 5/8 > 3/8
- 1/2 = 2/4
- 3/4 > 2/4
- 3/4 = 12/16
- Next, find information: I will analyze each pair of shapes one by one to determine the fraction it represents and then compare them. I'll start from the top left and proceed row by row.
- Then, review the findings: I have identified all the shapes and their corresponding fractions. I will now calculate the value of each fraction and compare them to determine the correct symbol.
---
1. Top Left Pair: The first rectangle is divided into 6 parts with 4 shaded, representing 4/6. The second rectangle is divided into 8 parts with 4 shaded, representing 4/8. Since 4/6 is greater than 4/8, the symbol is `>`.
2. Top Right Pair: The first square is divided into 9 parts with 8 shaded, representing 8/9. The second square is divided into 9 parts with 7 shaded, representing 7/9. Since 8/9 is greater than 7/9, the symbol is `>`.
3. Second Row Left Pair: The first diamond is divided into 4 parts with 1 shaded, representing 1/4. The second diamond is divided into 4 parts with 2 shaded, representing 2/4. Since 1/4 is less than 2/4, the symbol is `<`.
4. Second Row Right Pair: The first triangle is divided into 4 parts with 3 shaded, representing 3/4. The second triangle is divided into 8 parts with 5 shaded, representing 5/8. To compare, convert to a common denominator: 3/4 = 6/8, and 6/8 > 5/8, so the symbol is `>`.
5. Third Row Left Pair: The first rectangle is divided into 8 parts with 5 shaded, representing 5/8. The second rectangle is divided into 8 parts with 4 shaded, representing 4/8. Since 5/8 is greater than 4/8, the symbol is `>`.
6. Third Row Right Pair: The first diamond is divided into 4 parts with 2 shaded, representing 2/4. The second diamond is divided into 4 parts with 1 shaded, representing 1/4. Since 2/4 is greater than 1/4, the symbol is `>`.
7. Fourth Row Left Pair: The first shape is divided into 8 parts with 5 shaded, representing 5/8. The second shape is divided into 8 parts with 3 shaded, representing 3/8. Since 5/8 is greater than 3/8, the symbol is `>`.
8. Fourth Row Right Pair: The first circle is divided into 2 parts with 1 shaded, representing 1/2. The second circle is divided into 4 parts with 2 shaded, representing 2/4. Since 1/2 is equal to 2/4, the symbol is `=`.
9. Fifth Row Left Pair: The first square is divided into 4 parts with 3 shaded, representing 3/4. The second square is divided into 4 parts with 2 shaded, representing 2/4. Since 3/4 is greater than 2/4, the symbol is `>`.
10. Fifth Row Right Pair: The first square is divided into 4 parts with 3 shaded, representing 3/4. The second square is divided into 16 parts with 12 shaded, representing 12/16. Since 3/4 is equal to 12/16, the symbol is `=`.
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- Final Answer:
- 4/6 > 4/8
- 8/9 > 7/9
- 1/4 < 2/4
- 3/4 > 5/8
- 5/8 > 4/8
- 2/4 > 1/4
- 5/8 > 3/8
- 1/2 = 2/4
- 3/4 > 2/4
- 3/4 = 12/16
Parent Tip: Review the logic above to help your child master the concept of visual fractions worksheet.
