To solve these fraction addition problems, we need to make sure the denominators (the bottom numbers) are the same before we can add the numerators (the top numbers).
Here are the step-by-step solutions for each problem:
1.
1/2 + 1/4
* The common denominator for 2 and 4 is 4.
* Convert 1/2 to 2/4.
* Add: 2/4 + 1/4 = 3/4.
2.
3/7 + 2/9
* The common denominator for 7 and 9 is 63 (7 x 9).
* Convert 3/7 to 27/63 (3 x 9 = 27).
* Convert 2/9 to 14/63 (2 x 7 = 14).
* Add: 27/63 + 14/63 = 41/63.
3.
3/5 + 1/15
* The common denominator for 5 and 15 is 15.
* Convert 3/5 to 9/15 (3 x 3 = 9).
* Add: 9/15 + 1/15 = 10/15.
* Simplify: Divide top and bottom by 5 to get 2/3.
4.
1/9 + 7/8
* The common denominator for 9 and 8 is 72 (9 x 8).
* Convert 1/9 to 8/72 (1 x 8 = 8).
* Convert 7/8 to 63/72 (7 x 9 = 63).
* Add: 8/72 + 63/72 = 71/72.
5.
6/7 + 2/21
* The common denominator for 7 and 21 is 21.
* Convert 6/7 to 18/21 (6 x 3 = 18).
* Add: 18/21 + 2/21 = 20/21.
6.
4/6 + 2/10
* First, simplify the fractions: 4/6 becomes 2/3, and 2/10 becomes 1/5.
* The common denominator for 3 and 5 is 15.
* Convert 2/3 to 10/15.
* Convert 1/5 to 3/15.
* Add: 10/15 + 3/15 = 13/15.
7.
1/11 + 3/22
* The common denominator for 11 and 22 is 22.
* Convert 1/11 to 2/22 (1 x 2 = 2).
* Add: 2/22 + 3/22 = 5/22.
8.
1/4 + 8/20
* First, simplify 8/20 to 2/5.
* The common denominator for 4 and 5 is 20.
* Convert 1/4 to 5/20.
* Convert 2/5 to 8/20.
* Add: 5/20 + 8/20 = 13/20.
9.
4/7 + 2/9
* The common denominator for 7 and 9 is 63.
* Convert 4/7 to 36/63 (4 x 9 = 36).
* Convert 2/9 to 14/63 (2 x 7 = 14).
* Add: 36/63 + 14/63 = 50/63.
10.
7/10 + 2/30
* The common denominator for 10 and 30 is 30.
* Convert 7/10 to 21/30 (7 x 3 = 21).
* Add: 21/30 + 2/30 = 23/30.
Final Answer:
1. 3/4
2. 41/63
3. 2/3
4. 71/72
5. 20/21
6. 13/15
7. 5/22
8. 13/20
9. 50/63
10. 23/30
Parent Tip: Review the logic above to help your child master the concept of grade 6 worksheet.
