Adding Fractions Worksheet with 10 Problems and Self-Evaluation Section

$A worksheet titled "Adding Fractions" with ten fraction addition problems, a space for the student's name, and a "How Did You Do?" section with smiley face icons.$

A worksheet titled "Adding Fractions" with ten fraction addition problems, a space for the student's name, and a "How Did You Do?" section with smiley face icons.

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Show Answer Key & Explanations Step-by-step solution for: Adding Fractions Worksheets - 15 Worksheets Library

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Explanation:
To add fractions, we need to have the same denominator (the bottom number). If the denominators are different, we find a common denominator, which is usually the smallest number both denominators can divide into. Then we convert each fraction to an equivalent fraction with that common denominator. After that, we add the numerators (the top numbers) and keep the same denominator.

Let’s solve each problem step by step:

1. 1/2 + 1/4
- The denominators are 2 and 4. The least common denominator is 4.
- Convert 1/2 to 2/4 (because 1/2 = 2/4).
- Now add: 2/4 + 1/4 = 3/4.

2. 1/5 + 7/10
- Denominators are 5 and 10. The least common denominator is 10.
- Convert 1/5 to 2/10 (because 1/5 = 2/10).
- Now add: 2/10 + 7/10 = 9/10.

3. 1/6 + 2/18
- Denominators are 6 and 18. The least common denominator is 18.
- Convert 1/6 to 3/18 (because 1/6 = 3/18).
- Now add: 3/18 + 2/18 = 5/18.

4. 1/4 + 2/12
- Denominators are 4 and 12. The least common denominator is 12.
- Convert 1/4 to 3/12 (because 1/4 = 3/12).
- Now add: 3/12 + 2/12 = 5/12.

5. 1/5 + 3/15
- Denominators are 5 and 15. The least common denominator is 15.
- Convert 1/5 to 3/15 (because 1/5 = 3/15).
- Now add: 3/15 + 3/15 = 6/15.
- Simplify: 6/15 = 2/5.

6. 1/8 + 3/4
- Denominators are 8 and 4. The least common denominator is 8.
- Convert 3/4 to 6/8 (because 3/4 = 6/8).
- Now add: 1/8 + 6/8 = 7/8.

7. 1/2 + 3/8
- Denominators are 2 and 8. The least common denominator is 8.
- Convert 1/2 to 4/8 (because 1/2 = 4/8).
- Now add: 4/8 + 3/8 = 7/8.

8. 6/7 + 2/21
- Denominators are 7 and 21. The least common denominator is 21.
- Convert 6/7 to 18/21 (because 6/7 = 18/21).
- Now add: 18/21 + 2/21 = 20/21.

9. 1/3 + 2/9
- Denominators are 3 and 9. The least common denominator is 9.
- Convert 1/3 to 3/9 (because 1/3 = 3/9).
- Now add: 3/9 + 2/9 = 5/9.

10. 5/16 + 1/4
- Denominators are 16 and 4. The least common denominator is 16.
- Convert 1/4 to 4/16 (because 1/4 = 4/16).
- Now add: 5/16 + 4/16 = 9/16.

Final Answer:
1. 3/4
2. 9/10
3. 5/18
4. 5/12
5. 2/5
6. 7/8
7. 7/8
8. 20/21
9. 5/9
10. 9/16

Parent Tip: Review the logic above to help your child master the concept of add fractions worksheet.

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