Let’s solve each problem one by one. We’re looking for
improper fractions — that means the top number (numerator) is bigger than or equal to the bottom number (denominator). Each diagram shows shaded parts of shapes, and we need to count how many total shaded parts there are, and what size each part is.
---
Problem 1:
- First circle: divided into 4 parts, all 4 shaded → 4/4
- Second circle: divided into 4 parts, 2 shaded → 2/4
- Total shaded = 4 + 2 = 6 parts
- Each part is 1/4 of a whole
→ So fraction = 6/4
✔ Check: 6 > 4 → improper fraction ✔️
---
Problem 2:
- First square: 3 rows × 3 columns = 9 small squares, all shaded → 9/9
- Second square: same size, 6 shaded out of 9 → 6/9
- Total shaded = 9 + 6 = 15 parts
- Each part is 1/9
→ Fraction = 15/9
✔ Check: 15 > 9 → improper ✔️
---
Problem 3:
- First circle: 8 parts, 7 shaded → 7/8
- Second circle: 8 parts, 3 shaded → 3/8
- Total shaded = 7 + 3 = 10 parts
- Each part is 1/8
→ Fraction = 10/8
✔ Check: 10 > 8 → improper ✔️
---
Problem 4:
- First rectangle: 3 rows × 4 columns = 12 small rectangles, all shaded → 12/12
- Second rectangle: same size, 4 shaded out of 12 → 4/12
- Total shaded = 12 + 4 = 16 parts
- Each part is 1/12
→ Fraction = 16/12
✔ Check: 16 > 12 → improper ✔️
---
Problem 5:
- First circle: 10 parts, 9 shaded → 9/10
- Second circle: 10 parts, 6 shaded → 6/10
- Total shaded = 9 + 6 = 15 parts
- Each part is 1/10
→ Fraction = 15/10
✔ Check: 15 > 10 → improper ✔️
---
Problem 6:
- Three circles, each divided into 5 parts.
- First circle: 5 shaded → 5/5
- Second circle: 5 shaded → 5/5
- Third circle: 2 shaded → 2/5
- Total shaded = 5 + 5 + 2 = 12 parts
- Each part is 1/5
→ Fraction = 12/5
✔ Check: 12 > 5 → improper ✔️
---
Final Answer:
1. 6/4
2. 15/9
3. 10/8
4. 16/12
5. 15/10
6. 12/5
Parent Tip: Review the logic above to help your child master the concept of mixed numbers and improper fractions worksheet.
