Let's solve each of the problems on this worksheet step by step. The task is to
identify the fraction of the colored part in each circle.
We will use the formula:
>
Fraction = (Number of coloured parts) / (Total number of equal parts)
---
1.
- Total parts: 10
- Coloured parts: 8
- Fraction: $ \frac{8}{10} $
✔ Already given as $ \frac{8}{10} $
---
2.
- Total parts: 12
- Coloured parts: 2
- Fraction: $ \frac{2}{12} = \frac{1}{6} $
✔ Answer: $ \frac{1}{6} $
---
3.
- Total parts: 12
- Coloured parts: 6
- Fraction: $ \frac{6}{12} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
4.
- Total parts: 12
- Coloured parts: 3
- Fraction: $ \frac{3}{12} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
5.
- Total parts: 8
- Coloured parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
6.
- Total parts: 8
- Coloured parts: 5
- Fraction: $ \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
---
7.
- Total parts: 8
- Coloured parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
8.
- Total parts: 8
- Coloured parts: 1
- Fraction: $ \frac{1}{8} $
✔ Answer: $ \frac{1}{8} $
---
9.
- Total parts: 12
- Coloured parts: 5
- Fraction: $ \frac{5}{12} $
✔ Answer: $ \frac{5}{12} $
---
10.
- Total parts: 8
- Coloured parts: 4
- Fraction: $ \frac{4}{8} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
11.
- Total parts: 8
- Coloured parts: 6
- Fraction: $ \frac{6}{8} = \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
---
12.
- Total parts: 8
- Coloured parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
✔ Final Answers:
| Question | Fraction |
|--------|---------|
| 1 | $ \frac{8}{10} $ |
| 2 | $ \frac{1}{6} $ |
| 3 | $ \frac{1}{2} $ |
| 4 | $ \frac{1}{4} $ |
| 5 | $ \frac{3}{8} $ |
| 6 | $ \frac{5}{8} $ |
| 7 | $ \frac{3}{8} $ |
| 8 | $ \frac{1}{8} $ |
| 9 | $ \frac{5}{12} $ |
| 10 | $ \frac{1}{2} $ |
| 11 | $ \frac{3}{4} $ |
| 12 | $ \frac{3}{8} $ |
---
📝 Explanation Summary:
To find the fraction of a shaded region:
1. Count how many
equal parts the circle is divided into → this is the
denominator.
2. Count how many of those parts are
coloured → this is the
numerator.
3. Write the fraction and simplify if possible.
For example, in
Question 2, there are 12 equal parts and 2 are coloured → $ \frac{2}{12} $, which simplifies to $ \frac{1}{6} $.
This helps students understand fractions visually and practice simplifying them.
Let me know if you'd like this formatted for printing or as a downloadable answer sheet!
Parent Tip: Review the logic above to help your child master the concept of worksheet on fractions for grade 5.
