Grade 6 Fraction Worksheets | Free Printables | Math Worksheets - Free Printable

Let’s solve each fraction addition problem step by step. We’ll find a common denominator for each pair, add the numerators, and simplify if needed.

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1. ½ + ¼

Common denominator of 2 and 4 is 4.
½ = 2/4
So: 2/4 + 1/4 = 3/4

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2. 3/7 + 2/9

Common denominator of 7 and 9 is 63.
3/7 = (3×9)/(7×9) = 27/63
2/9 = (2×7)/(9×7) = 14/63
27/63 + 14/63 = 41/63 → already simplified

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3. 3/5 + 1/15

Common denominator of 5 and 15 is 15.
3/5 = (3×3)/(5×3) = 9/15
So: 9/15 + 1/15 = 10/15 → simplify by dividing numerator and denominator by 5 → 2/3

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4. 1/9 + 7/8

Common denominator of 9 and 8 is 72.
1/9 = 8/72
7/8 = 63/72
8/72 + 63/72 = 71/72 → already simplified

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5. 6/7 + 2/21

Common denominator of 7 and 21 is 21.
6/7 = (6×3)/(7×3) = 18/21
So: 18/21 + 2/21 = 20/21 → already simplified

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6. 4/6 + 2/10

First, simplify fractions if possible:
4/6 = 2/3
2/10 = 1/5
Now add 2/3 + 1/5
Common denominator of 3 and 5 is 15.
2/3 = 10/15
1/5 = 3/15
10/15 + 3/15 = 13/15

*(Alternatively, without simplifying first: LCM of 6 and 10 is 30 → 4/6=20/30, 2/10=6/30 → 26/30 = 13/15 — same answer)*

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7. 1/11 + 3/22

Common denominator of 11 and 22 is 22.
1/11 = 2/22
So: 2/22 + 3/22 = 5/22 → already simplified

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8. 1/4 + 8/20

Simplify 8/20 = 2/5
Now add 1/4 + 2/5
LCM of 4 and 5 is 20.
1/4 = 5/20
2/5 = 8/20
5/20 + 8/20 = 13/20

*(Or without simplifying: 1/4 = 5/20, 8/20 stays → 5+8=13 → 13/20)*

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9. 4/7 + 2/9

LCM of 7 and 9 is 63.
4/7 = 36/63
2/9 = 14/63
36/63 + 14/63 = 50/63 → already simplified

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10. 7/10 + 2/30

Simplify 2/30 = 1/15
Now add 7/10 + 1/15
LCM of 10 and 15 is 30.
7/10 = 21/30
1/15 = 2/30
21/30 + 2/30 = 23/30

*(Or without simplifying: 7/10 = 21/30, 2/30 stays → 23/30)*

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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