fractions review

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1/6 + 1/6

1/3

3/5 - 2/5

1/5

3/5 + 4/10

10/10, which is 1. (work on the first fraction [3/5] separately first and multiply its numbers so the denominator is 10: 3/5 x 2/2 becomes 6/10; then add the numerators together: 6 + 4 = 10; 10/10 can be reduced to 1.)

2/3 + 1/4

11/12 (work on each fraction separately first and multiply the numbers so the denominator is 12. 2/3 x 4/4 becomes 8/12; 1/4 x 3/3 becomes 3/12; then add the numerators together: 8 + 3 = 11)

8/9 + 1/3

11/9, or 1 2/9. (work on the second fraction [1/3] separately first and multiply its numbers so the denominator is 9: 1/3 x 3/3 becomes 3/9; then add the numerators together: 8 + 3 = 11)

6/7 + 2/28

13/14 (work on the first fraction [6/7] separately first and multiply its numbers so the denominator is 28: 6/7 x 4/4 becomes 24/28; then add the numerators together: 24 + 2 = 26; 26/28 can be reduced to 13/14 if you divide by two.)

11/17 + 5/17

16/17 (since the denominators are already the same, you can simply add the numerators together: 11 +5 = 16)

7/8 + 9/8

2 (since the denominators are the same [a "common denominator], add the numerators: 7+9=16. 16/8 = 2)

1/3 + 2/3

3/1 = 1

1/4 + 1/4 + 1/4

3/4

1/4 + 2/4

3/4 (since there is already a "common denominator," you can simply add the numerators together: 1 +2 = 3)

1/2 + 3/10

4/5 (work on the first fraction [1/2] separately first and multiply its numbers so the denominator is 10: 1/2 x 5/5 becomes 8/10; then add the numerators together: 5 + 3 = 8; 8/10 is 4/5.)

2/8 + 1/4

4/8, which can be reduced to 1/2.

1/3 + 1/5

8/15 (To find a common denominator, multiply 3x5 to get 15. 1/3 x 5/5 = 5/15. 1/5 x 3/3 = 3/15. Add the numerators now: 5+3=8. There's your answer: 8/15.

3/8 + 5/8

8/8 or 1. (Since there is already a common denominator, just add the numerators: 3+5=8.)

3/9 + 5/9

8/9 (since there is already a "common denominator," you can simply add the numerators together: 3 +5 = 8)

9/10 + 7/11

Common Denominator = 110 9/10 = 99/110 7/11 = 70/110 99/110 + 70/110 = 169/110 = 1 59/110

1/3 + 4/5

Common Denominator = 15 1/3 = 5/15 4/5 = 12/15 5/15 + 12/15 = 17/15 = 1 2/15

2/3 + 5/7

Common Denominator = 21 2/3 = 14/21 5/7 = 15/21 14/21 + 15/21 = 29/21 = 1 8/21

1/3 + 1/4

Common Denominator: 12 1/3 = 4/12 1/4 = 3/12 4/12 + 3/12 = 7/12

9/11 + 18/19

Common Denominator: 209 9/11 = 171/209 18/19 = 198/209 171/209 + 198/209 = 369/209

11/13 + 23/24

Common Denominator: 312 11/13 = 264/312 23/24 = 299/312 264/312 + 299/312 = 563/312 = 1 204/312 = 1 51/78

1/2 + 2/4

Common Denominator: 4 1/2 = 2/4 2/4 = 2/4 2/4 + 2/4 = 4/4 = 1

28/4 + 56/8

Common Denominator: 4 28/4 = 28/4 56/8 = 28/4 28/4 + 28/4 = 56/4 = 14

2/5 + 5/8

Common Denominator: 40 2/5 = 16/40 5/8 = 25/40 16/40 + 25/40 = 1 1/40

2/17 + 1/3

Common Denominator: 51 2/17 = 6/51 1/3 = 17/51 6/51 + 17/51 = 23/51

5/8 + 1/2

your common denomintaor should be 16. 5/8 becomes 10/16. 1/2 becomes 8/16. When you add them together you get 18/16 = 1 2/16 which can be simplified to 1 and 1/8.


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