Fractions online exercise for Grade 3 - Free Printable
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Step-by-step solution for: Fractions online exercise for Grade 3
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Show Answer Key & Explanations
Step-by-step solution for: Fractions online exercise for Grade 3
Let’s go through each shape one by one and count how many equal parts there are, then how many of those parts are shaded.
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Row 1:
1. Circle (blue half)
- Divided into 2 equal parts → denominator = 2
- 1 part is shaded → numerator = 1
→ Fraction: 1/2
2. Star (yellow top point)
- Star is divided into 5 equal points → denominator = 5
- Only 1 point is shaded → numerator = 1
→ Fraction: 1/5
3. Rectangle (top blue strip)
- Divided into 3 equal horizontal strips → denominator = 3
- Top 1 strip is shaded → numerator = 1
→ Fraction: 1/3
4. Hexagon (green top-left triangle)
- Divided into 4 equal triangles → denominator = 4
- 1 triangle is shaded → numerator = 1
→ Fraction: 1/4
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Row 2:
5. Grid rectangle (purple squares)
- Total small squares: 2 rows × 6 columns = 12 squares → denominator = 12
- Shaded: first 2 squares in top row → numerator = 2
→ Fraction: 2/12 → can simplify to 1/6, but since the worksheet doesn’t ask to simplify, we’ll leave as 2/12 unless told otherwise. But let’s check — actually, looking again: it’s 2 shaded out of 12 total → yes, 2/12. However, sometimes worksheets expect simplified form. Let me double-check the image mentally — no, it's clearly 2 out of 12. But wait — maybe I miscounted? Actually, looking at standard fraction worksheets, they often want simplest form. Hmm. Let’s think: if you divide both by 2, you get 1/6. Since this is for students, likely they want simplified. But the problem says “write the fraction”, not “simplify”. To be safe, I’ll write both and pick the most appropriate. Actually, let’s look at other shapes — none seem to require simplifying except maybe this one. Wait — let’s hold on. Maybe better to write unsimplified first and see. Actually, no — in elementary math, they usually teach to simplify. Let me re-express: 2/12 = 1/6. I think 1/6 is expected. But let’s confirm with logic: if you group every 2 squares together, you have 6 groups, 1 group shaded → so 1/6. Yes, that makes sense. So final answer: 1/6
Wait — actually, let’s not overcomplicate. The instruction is just “write the fraction for the shaded area”. So technically, 2/12 is correct. But in school, teachers usually want simplified fractions. Since this is a homework helper, I should give the simplified version. Let me check online or recall: yes, typically simplified. So I’ll go with 1/6
But wait — let’s do all first and come back.
Actually, let’s proceed and verify later.
6. Circle (green slices)
- Circle divided into 8 equal slices → denominator = 8
- 3 slices shaded → numerator = 3
→ Fraction: 3/8
7. Hexagon (red top half)
- Hexagon divided into 2 equal parts (top and bottom) → denominator = 2
- Top part shaded → numerator = 1
→ Fraction: 1/2
8. Star (blue points)
- Star has 5 points → denominator = 5
- 3 points shaded → numerator = 3
→ Fraction: 3/5
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Row 3:
9. Rectangle (orange vertical strips)
- Divided into 8 equal vertical strips → denominator = 8
- First 5 strips shaded → numerator = 5
→ Fraction: 5/8
10. Square (blue quarter)
- Square divided into 4 equal smaller squares → denominator = 4
- 1 square shaded → numerator = 1
→ Fraction: 1/4
11. Circle (black sector)
- Circle divided into 3 equal sectors → denominator = 3
- 2 sectors shaded → numerator = 2
→ Fraction: 2/3
12. Rectangle (orange top two-thirds)
- Divided into 3 equal horizontal parts → denominator = 3
- Top 2 parts shaded → numerator = 2
→ Fraction: 2/3
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Now, going back to #5: grid with 2 purple squares out of 12 total.
Is it 2/12 or 1/6?
In most elementary curricula, when writing fractions from diagrams, if the fraction can be simplified, they expect the simplified form. For example, if you have 2 out of 4, you write 1/2, not 2/4.
So for consistency, I will simplify 2/12 to 1/6.
Also, checking visually: if you imagine grouping the 12 squares into 6 pairs, only 1 pair is fully shaded → so 1/6. That matches.
So final list:
Row 1:
1. 1/2
2. 1/5
3. 1/3
4. 1/4
Row 2:
5. 1/6
6. 3/8
7. 1/2
8. 3/5
Row 3:
9. 5/8
10. 1/4
11. 2/3
12. 2/3
All these make sense and match the visual divisions.
Final Answer:
1/2, 1/5, 1/3, 1/4, 1/6, 3/8, 1/2, 3/5, 5/8, 1/4, 2/3, 2/3
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Row 1:
1. Circle (blue half)
- Divided into 2 equal parts → denominator = 2
- 1 part is shaded → numerator = 1
→ Fraction: 1/2
2. Star (yellow top point)
- Star is divided into 5 equal points → denominator = 5
- Only 1 point is shaded → numerator = 1
→ Fraction: 1/5
3. Rectangle (top blue strip)
- Divided into 3 equal horizontal strips → denominator = 3
- Top 1 strip is shaded → numerator = 1
→ Fraction: 1/3
4. Hexagon (green top-left triangle)
- Divided into 4 equal triangles → denominator = 4
- 1 triangle is shaded → numerator = 1
→ Fraction: 1/4
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Row 2:
5. Grid rectangle (purple squares)
- Total small squares: 2 rows × 6 columns = 12 squares → denominator = 12
- Shaded: first 2 squares in top row → numerator = 2
→ Fraction: 2/12 → can simplify to 1/6, but since the worksheet doesn’t ask to simplify, we’ll leave as 2/12 unless told otherwise. But let’s check — actually, looking again: it’s 2 shaded out of 12 total → yes, 2/12. However, sometimes worksheets expect simplified form. Let me double-check the image mentally — no, it's clearly 2 out of 12. But wait — maybe I miscounted? Actually, looking at standard fraction worksheets, they often want simplest form. Hmm. Let’s think: if you divide both by 2, you get 1/6. Since this is for students, likely they want simplified. But the problem says “write the fraction”, not “simplify”. To be safe, I’ll write both and pick the most appropriate. Actually, let’s look at other shapes — none seem to require simplifying except maybe this one. Wait — let’s hold on. Maybe better to write unsimplified first and see. Actually, no — in elementary math, they usually teach to simplify. Let me re-express: 2/12 = 1/6. I think 1/6 is expected. But let’s confirm with logic: if you group every 2 squares together, you have 6 groups, 1 group shaded → so 1/6. Yes, that makes sense. So final answer: 1/6
Wait — actually, let’s not overcomplicate. The instruction is just “write the fraction for the shaded area”. So technically, 2/12 is correct. But in school, teachers usually want simplified fractions. Since this is a homework helper, I should give the simplified version. Let me check online or recall: yes, typically simplified. So I’ll go with 1/6
But wait — let’s do all first and come back.
Actually, let’s proceed and verify later.
6. Circle (green slices)
- Circle divided into 8 equal slices → denominator = 8
- 3 slices shaded → numerator = 3
→ Fraction: 3/8
7. Hexagon (red top half)
- Hexagon divided into 2 equal parts (top and bottom) → denominator = 2
- Top part shaded → numerator = 1
→ Fraction: 1/2
8. Star (blue points)
- Star has 5 points → denominator = 5
- 3 points shaded → numerator = 3
→ Fraction: 3/5
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Row 3:
9. Rectangle (orange vertical strips)
- Divided into 8 equal vertical strips → denominator = 8
- First 5 strips shaded → numerator = 5
→ Fraction: 5/8
10. Square (blue quarter)
- Square divided into 4 equal smaller squares → denominator = 4
- 1 square shaded → numerator = 1
→ Fraction: 1/4
11. Circle (black sector)
- Circle divided into 3 equal sectors → denominator = 3
- 2 sectors shaded → numerator = 2
→ Fraction: 2/3
12. Rectangle (orange top two-thirds)
- Divided into 3 equal horizontal parts → denominator = 3
- Top 2 parts shaded → numerator = 2
→ Fraction: 2/3
---
Now, going back to #5: grid with 2 purple squares out of 12 total.
Is it 2/12 or 1/6?
In most elementary curricula, when writing fractions from diagrams, if the fraction can be simplified, they expect the simplified form. For example, if you have 2 out of 4, you write 1/2, not 2/4.
So for consistency, I will simplify 2/12 to 1/6.
Also, checking visually: if you imagine grouping the 12 squares into 6 pairs, only 1 pair is fully shaded → so 1/6. That matches.
So final list:
Row 1:
1. 1/2
2. 1/5
3. 1/3
4. 1/4
Row 2:
5. 1/6
6. 3/8
7. 1/2
8. 3/5
Row 3:
9. 5/8
10. 1/4
11. 2/3
12. 2/3
All these make sense and match the visual divisions.
Final Answer:
1/2, 1/5, 1/3, 1/4, 1/6, 3/8, 1/2, 3/5, 5/8, 1/4, 2/3, 2/3
Parent Tip: Review the logic above to help your child master the concept of 3rd grade fractions worksheet pdf.