Grade 5 math worksheet focusing on adding unlike fractions.

Let’s solve each problem step by step. We’re adding fractions with different denominators (unlike fractions). To do this, we need to find a common denominator — usually the least common multiple (LCM) of the two denominators. Then convert each fraction so they have that same denominator, add the numerators, and simplify if needed.

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1. ½ + ⅖

Denominators: 2 and 5 → LCM = 10
½ = 5/10
⅖ = 4/10
5/10 + 4/10 = 9/10

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2. 5/12 + 8/11

Denominators: 12 and 11 → LCM = 132 (since 12×11=132 and they share no common factors)
5/12 = (5×11)/(12×11) = 55/132
8/11 = (8×12)/(11×12) = 96/132
55/132 + 96/132 = 151/132 → This is an improper fraction. Let’s write as mixed number:
151 ÷ 132 = 1 remainder 19 → 1 19/132

*(Note: 151 and 132 have no common factors, so it can’t be simplified further.)*

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3. 2/7 + 6/10

First, simplify 6/10 → 3/5
Now: 2/7 + 3/5
Denominators: 7 and 5 → LCM = 35
2/7 = 10/35
3/5 = 21/35
10/35 + 21/35 = 31/35

*(Alternatively, without simplifying first: 2/7 + 6/10 → LCM of 7 and 10 is 70 → 20/70 + 42/70 = 62/70 = 31/35 — same answer.)*

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4. 1/6 + 6/11

Denominators: 6 and 11 → LCM = 66
1/6 = 11/66
6/11 = 36/66
11/66 + 36/66 = 47/66

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5. 5/9 + ½

Denominators: 9 and 2 → LCM = 18
5/9 = 10/18
½ = 9/18
10/18 + 9/18 = 19/18 → Improper fraction → 1 1/18

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6. 9/12 + 2/12

Same denominator! Just add numerators:
9 + 2 = 11 → 11/12

*(Also, 9/12 can be simplified to 3/4, but since both are over 12, easier to just add.)*

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7. 2/7 + ¼

Denominators: 7 and 4 → LCM = 28
2/7 = 8/28
¼ = 7/28
8/28 + 7/28 = 15/28

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8. ¼ + 6/8

Simplify 6/8 → 3/4
Now: ¼ + ¾ = 4/4 = 1

*(Or keep as eighths: ¼ = 2/8, 6/8 stays → 2/8 + 6/8 = 8/8 = 1)*

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9. 4/10 + 4/5

Simplify 4/10 → 2/5
Now: 2/5 + 4/5 = 6/5 → Improper → 1 1/5

*(Or use tenths: 4/10 + 8/10 = 12/10 = 6/5 = 1 1/5)*

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10. ½ + 8/11

Denominators: 2 and 11 → LCM = 22
½ = 11/22
8/11 = 16/22
11/22 + 16/22 = 27/22 → Improper → 1 5/22

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11. 1/11 + 2/12

Simplify 2/12 → 1/6
Now: 1/11 + 1/6
Denominators: 11 and 6 → LCM = 66
1/11 = 6/66
1/6 = 11/66
6/66 + 11/66 = 17/66

*(Without simplifying: 1/11 + 2/12 → LCM of 11 and 12 is 132 → 12/132 + 22/132 = 34/132 = 17/66 — same.)*

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12. 2/12 + 2/4

Simplify both:
2/12 = 1/6
2/4 = 1/2
Now: 1/6 + 1/2 → LCM = 6
1/6 + 3/6 = 4/6 = 2/3

*(Or twelfths: 2/12 + 6/12 = 8/12 = 2/3)*

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13. 3/5 + 3/8

Denominators: 5 and 8 → LCM = 40
3/5 = 24/40
3/8 = 15/40
24/40 + 15/40 = 39/40

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14. 6/9 + ½

Simplify 6/9 → 2/3
Now: 2/3 + ½ → LCM = 6
2/3 = 4/6
½ = 3/6
4/6 + 3/6 = 7/6 → Improper → 1 1/6

*(Or ninths and halves: LCM of 9 and 2 is 18 → 12/18 + 9/18 = 21/18 = 7/6 = 1 1/6)*

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Final Answer:

1. 9/10
2. 1 19/132
3. 31/35
4. 47/66
5. 1 1/18
6. 11/12
7. 15/28
8. 1
9. 1 1/5
10. 1 5/22
11. 17/66
12. 2/3
13. 39/40
14. 1 1/6