Adding Fractions Worksheets - Free Printable
Educational worksheet: Adding Fractions Worksheets. Download and print for classroom or home learning activities.
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Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Worksheets
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Show Answer Key & Explanations
Step-by-step solution for: Adding Fractions Worksheets
Let’s solve each problem step by step. We’ll add the fractions, simplify if needed, and convert improper fractions to mixed numbers.
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1) 3/4 + 7/12
Find common denominator: LCM of 4 and 12 is 12.
3/4 = 9/12
9/12 + 7/12 = 16/12 → Simplify: divide numerator and denominator by 4 → 4/3 → Mixed number: 1 1/3
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2) 5/6 + 1/3
LCM of 6 and 3 is 6.
1/3 = 2/6
5/6 + 2/6 = 7/6 → Mixed number: 1 1/6
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3) 6/7 + 5/21
LCM of 7 and 21 is 21.
6/7 = 18/21
18/21 + 5/21 = 23/21 → Mixed number: 1 2/21
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4) 7/8 + 5/8
Same denominator: 7+5=12 → 12/8 → Simplify: divide by 4 → 3/2 → Mixed number: 1 1/2
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5) 3/5 + 11/20
LCM of 5 and 20 is 20.
3/5 = 12/20
12/20 + 11/20 = 23/20 → Mixed number: 1 3/20
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6) 7/10 + 23/50
LCM of 10 and 50 is 50.
7/10 = 35/50
35/50 + 23/50 = 58/50 → Simplify: divide by 2 → 29/25 → Mixed number: 1 4/25
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7) 2/9 + 13/45
LCM of 9 and 45 is 45.
2/9 = 10/45
10/45 + 13/45 = 23/45 → Already simplified → 23/45
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8) 17/24 + 5/6
LCM of 24 and 6 is 24.
5/6 = 20/24
17/24 + 20/24 = 37/24 → Mixed number: 1 13/24
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9) 17/20 + 13/20
Same denominator: 17+13=30 → 30/20 → Simplify: divide by 10 → 3/2 → Mixed number: 1 1/2
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10) 4/7 + 22/35
LCM of 7 and 35 is 35.
4/7 = 20/35
20/35 + 22/35 = 42/35 → Simplify: divide by 7 → 6/5 → Mixed number: 1 1/5
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11) 11/18 + 2/3
LCM of 18 and 3 is 18.
2/3 = 12/18
11/18 + 12/18 = 23/18 → Mixed number: 1 5/18
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12) 3/4 + 23/36
LCM of 4 and 36 is 36.
3/4 = 27/36
27/36 + 23/36 = 50/36 → Simplify: divide by 2 → 25/18 → Mixed number: 1 7/18
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13) 4/5 + 17/40
LCM of 5 and 40 is 40.
4/5 = 32/40
32/40 + 17/40 = 49/40 → Mixed number: 1 9/40
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14) 11/48 + 7/8
LCM of 48 and 8 is 48.
7/8 = 42/48
11/48 + 42/48 = 53/48 → Mixed number: 1 5/48
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15) 23/30 + 2/3
LCM of 30 and 3 is 30.
2/3 = 20/30
23/30 + 20/30 = 43/30 → Mixed number: 1 13/30
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16) 35/66 + 8/11
LCM of 66 and 11 is 66.
8/11 = 48/66
35/66 + 48/66 = 83/66 → Mixed number: 1 17/66
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17) 5/7 + 45/56
LCM of 7 and 56 is 56.
5/7 = 40/56
40/56 + 45/56 = 85/56 → Mixed number: 1 29/56
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18) 37/42 + 15/21
LCM of 42 and 21 is 42.
15/21 = 30/42
37/42 + 30/42 = 67/42 → Mixed number: 1 25/42
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19) 7/20 + 87/100
LCM of 20 and 100 is 100.
7/20 = 35/100
35/100 + 87/100 = 122/100 → Simplify: divide by 2 → 61/50 → Mixed number: 1 11/50
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20) 5/8 + 47/64
LCM of 8 and 64 is 64.
5/8 = 40/64
40/64 + 47/64 = 87/64 → Mixed number: 1 23/64
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Final Answer:
1) 1 1/3
2) 1 1/6
3) 1 2/21
4) 1 1/2
5) 1 3/20
6) 1 4/25
7) 23/45
8) 1 13/24
9) 1 1/2
10) 1 1/5
11) 1 5/18
12) 1 7/18
13) 1 9/40
14) 1 5/48
15) 1 13/30
16) 1 17/66
17) 1 29/56
18) 1 25/42
19) 1 11/50
20) 1 23/64
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1) 3/4 + 7/12
Find common denominator: LCM of 4 and 12 is 12.
3/4 = 9/12
9/12 + 7/12 = 16/12 → Simplify: divide numerator and denominator by 4 → 4/3 → Mixed number: 1 1/3
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2) 5/6 + 1/3
LCM of 6 and 3 is 6.
1/3 = 2/6
5/6 + 2/6 = 7/6 → Mixed number: 1 1/6
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3) 6/7 + 5/21
LCM of 7 and 21 is 21.
6/7 = 18/21
18/21 + 5/21 = 23/21 → Mixed number: 1 2/21
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4) 7/8 + 5/8
Same denominator: 7+5=12 → 12/8 → Simplify: divide by 4 → 3/2 → Mixed number: 1 1/2
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5) 3/5 + 11/20
LCM of 5 and 20 is 20.
3/5 = 12/20
12/20 + 11/20 = 23/20 → Mixed number: 1 3/20
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6) 7/10 + 23/50
LCM of 10 and 50 is 50.
7/10 = 35/50
35/50 + 23/50 = 58/50 → Simplify: divide by 2 → 29/25 → Mixed number: 1 4/25
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7) 2/9 + 13/45
LCM of 9 and 45 is 45.
2/9 = 10/45
10/45 + 13/45 = 23/45 → Already simplified → 23/45
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8) 17/24 + 5/6
LCM of 24 and 6 is 24.
5/6 = 20/24
17/24 + 20/24 = 37/24 → Mixed number: 1 13/24
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9) 17/20 + 13/20
Same denominator: 17+13=30 → 30/20 → Simplify: divide by 10 → 3/2 → Mixed number: 1 1/2
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10) 4/7 + 22/35
LCM of 7 and 35 is 35.
4/7 = 20/35
20/35 + 22/35 = 42/35 → Simplify: divide by 7 → 6/5 → Mixed number: 1 1/5
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11) 11/18 + 2/3
LCM of 18 and 3 is 18.
2/3 = 12/18
11/18 + 12/18 = 23/18 → Mixed number: 1 5/18
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12) 3/4 + 23/36
LCM of 4 and 36 is 36.
3/4 = 27/36
27/36 + 23/36 = 50/36 → Simplify: divide by 2 → 25/18 → Mixed number: 1 7/18
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13) 4/5 + 17/40
LCM of 5 and 40 is 40.
4/5 = 32/40
32/40 + 17/40 = 49/40 → Mixed number: 1 9/40
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14) 11/48 + 7/8
LCM of 48 and 8 is 48.
7/8 = 42/48
11/48 + 42/48 = 53/48 → Mixed number: 1 5/48
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15) 23/30 + 2/3
LCM of 30 and 3 is 30.
2/3 = 20/30
23/30 + 20/30 = 43/30 → Mixed number: 1 13/30
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16) 35/66 + 8/11
LCM of 66 and 11 is 66.
8/11 = 48/66
35/66 + 48/66 = 83/66 → Mixed number: 1 17/66
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17) 5/7 + 45/56
LCM of 7 and 56 is 56.
5/7 = 40/56
40/56 + 45/56 = 85/56 → Mixed number: 1 29/56
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18) 37/42 + 15/21
LCM of 42 and 21 is 42.
15/21 = 30/42
37/42 + 30/42 = 67/42 → Mixed number: 1 25/42
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19) 7/20 + 87/100
LCM of 20 and 100 is 100.
7/20 = 35/100
35/100 + 87/100 = 122/100 → Simplify: divide by 2 → 61/50 → Mixed number: 1 11/50
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20) 5/8 + 47/64
LCM of 8 and 64 is 64.
5/8 = 40/64
40/64 + 47/64 = 87/64 → Mixed number: 1 23/64
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Final Answer:
1) 1 1/3
2) 1 1/6
3) 1 2/21
4) 1 1/2
5) 1 3/20
6) 1 4/25
7) 23/45
8) 1 13/24
9) 1 1/2
10) 1 1/5
11) 1 5/18
12) 1 7/18
13) 1 9/40
14) 1 5/48
15) 1 13/30
16) 1 17/66
17) 1 29/56
18) 1 25/42
19) 1 11/50
20) 1 23/64
Parent Tip: Review the logic above to help your child master the concept of free adding fractions worksheet.
