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Step-by-step solution for: Fraction Worksheets | Free - Distance Learning, worksheets and ...
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Show Answer Key & Explanations
Step-by-step solution for: Fraction Worksheets | Free - Distance Learning, worksheets and ...
Let's solve each problem step by step. The task is to write the shaded amount as a fraction of the whole.
We'll go through each figure, count how many total parts there are and how many are shaded, then write the fraction in simplest form if needed.
---
- Total parts: 8
- Shaded parts: 1
- Fraction: $ \frac{1}{8} $
✔ Answer: $ \frac{1}{8} $
---
- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
- Total parts: 3
- Shaded parts: 2
- Fraction: $ \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
- Total parts: 5
- Shaded parts: 1
- Fraction: $ \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
- Total parts: 4
- Shaded parts: 2
- Fraction: $ \frac{2}{4} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
- Total parts: 5
- Shaded parts: 3
- Fraction: $ \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $
---
- Total parts: 8
- Shaded parts: 5
- Fraction: $ \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
---
- Total parts: 6
- Shaded parts: 4
- Fraction: $ \frac{4}{6} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
- Total parts: 5
- Shaded parts: 2
- Fraction: $ \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
---
- Total parts: 6
- Shaded parts: 1
- Fraction: $ \frac{1}{6} $
✔ Answer: $ \frac{1}{6} $
---
- Total parts: 5
- Shaded parts: 3
- Fraction: $ \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $
---
- Total parts: 8
- Shaded parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
- Total parts: 8
- Shaded parts: 2
- Fraction: $ \frac{2}{8} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
- Total parts: 6
- Shaded parts: 2
- Fraction: $ \frac{2}{6} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
- Total parts: 2
- Shaded parts: 1
- Fraction: $ \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
- Total parts: 4
- Shaded parts: 3
- Fraction: $ \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
---
- Total parts: 8
- Shaded parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
| # | Answer |
|---|---------------|
| 1 | $ \frac{1}{8} $ |
| 2 | $ \frac{1}{4} $ |
| 3 | $ \frac{2}{3} $ |
| 4 | $ \frac{1}{5} $ |
| 5 | $ \frac{1}{2} $ |
| 6 | $ \frac{3}{5} $ |
| 7 | $ \frac{5}{8} $ |
| 8 | $ \frac{2}{3} $ |
| 9 | $ \frac{2}{5} $ |
|10 | $ \frac{1}{6} $ |
|11 | $ \frac{3}{5} $ |
|12 | $ \frac{3}{8} $ |
|13 | $ \frac{1}{4} $ |
|14 | $ \frac{1}{4} $ |
|15 | $ \frac{1}{3} $ |
|16 | $ \frac{1}{2} $ |
|17 | $ \frac{3}{4} $ |
|18 | $ \frac{3}{8} $ |
> 📝 Note: Always reduce fractions to lowest terms when possible (e.g., $ \frac{2}{4} \to \frac{1}{2} $).
Let me know if you'd like this as a printable answer key!
We'll go through each figure, count how many total parts there are and how many are shaded, then write the fraction in simplest form if needed.
---
1) Circle divided into 8 equal parts, 1 shaded
- Total parts: 8
- Shaded parts: 1
- Fraction: $ \frac{1}{8} $
✔ Answer: $ \frac{1}{8} $
---
2) Rectangle divided into 4 equal parts, 1 shaded
- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
3) Rectangle divided into 3 equal parts, 2 shaded
- Total parts: 3
- Shaded parts: 2
- Fraction: $ \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
4) Rectangle divided into 5 equal parts, 1 shaded
- Total parts: 5
- Shaded parts: 1
- Fraction: $ \frac{1}{5} $
✔ Answer: $ \frac{1}{5} $
---
5) Rectangle divided into 4 equal parts, 2 shaded
- Total parts: 4
- Shaded parts: 2
- Fraction: $ \frac{2}{4} = \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
6) Rectangle divided into 5 equal parts, 3 shaded
- Total parts: 5
- Shaded parts: 3
- Fraction: $ \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $
---
7) Circle divided into 8 equal parts, 5 shaded
- Total parts: 8
- Shaded parts: 5
- Fraction: $ \frac{5}{8} $
✔ Answer: $ \frac{5}{8} $
---
8) Rectangle divided into 6 equal parts, 4 shaded
- Total parts: 6
- Shaded parts: 4
- Fraction: $ \frac{4}{6} = \frac{2}{3} $
✔ Answer: $ \frac{2}{3} $
---
9) Rectangle divided into 5 equal parts, 2 shaded
- Total parts: 5
- Shaded parts: 2
- Fraction: $ \frac{2}{5} $
✔ Answer: $ \frac{2}{5} $
---
10) Circle divided into 6 equal parts, 1 shaded
- Total parts: 6
- Shaded parts: 1
- Fraction: $ \frac{1}{6} $
✔ Answer: $ \frac{1}{6} $
---
11) Rectangle divided into 5 equal parts, 3 shaded
- Total parts: 5
- Shaded parts: 3
- Fraction: $ \frac{3}{5} $
✔ Answer: $ \frac{3}{5} $
---
12) Circle divided into 8 equal parts, 3 shaded
- Total parts: 8
- Shaded parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
13) Circle divided into 8 equal parts, 2 shaded
- Total parts: 8
- Shaded parts: 2
- Fraction: $ \frac{2}{8} = \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
14) Rectangle divided into 4 equal parts, 1 shaded
- Total parts: 4
- Shaded parts: 1
- Fraction: $ \frac{1}{4} $
✔ Answer: $ \frac{1}{4} $
---
15) Circle divided into 6 equal parts, 2 shaded
- Total parts: 6
- Shaded parts: 2
- Fraction: $ \frac{2}{6} = \frac{1}{3} $
✔ Answer: $ \frac{1}{3} $
---
16) Rectangle divided into 2 equal parts, 1 shaded
- Total parts: 2
- Shaded parts: 1
- Fraction: $ \frac{1}{2} $
✔ Answer: $ \frac{1}{2} $
---
17) Circle divided into 4 equal parts, 3 shaded
- Total parts: 4
- Shaded parts: 3
- Fraction: $ \frac{3}{4} $
✔ Answer: $ \frac{3}{4} $
---
18) Circle divided into 8 equal parts, 3 shaded
- Total parts: 8
- Shaded parts: 3
- Fraction: $ \frac{3}{8} $
✔ Answer: $ \frac{3}{8} $
---
✔ Final Answers:
| # | Answer |
|---|---------------|
| 1 | $ \frac{1}{8} $ |
| 2 | $ \frac{1}{4} $ |
| 3 | $ \frac{2}{3} $ |
| 4 | $ \frac{1}{5} $ |
| 5 | $ \frac{1}{2} $ |
| 6 | $ \frac{3}{5} $ |
| 7 | $ \frac{5}{8} $ |
| 8 | $ \frac{2}{3} $ |
| 9 | $ \frac{2}{5} $ |
|10 | $ \frac{1}{6} $ |
|11 | $ \frac{3}{5} $ |
|12 | $ \frac{3}{8} $ |
|13 | $ \frac{1}{4} $ |
|14 | $ \frac{1}{4} $ |
|15 | $ \frac{1}{3} $ |
|16 | $ \frac{1}{2} $ |
|17 | $ \frac{3}{4} $ |
|18 | $ \frac{3}{8} $ |
> 📝 Note: Always reduce fractions to lowest terms when possible (e.g., $ \frac{2}{4} \to \frac{1}{2} $).
Let me know if you'd like this as a printable answer key!
Parent Tip: Review the logic above to help your child master the concept of what is a fraction worksheet.