Grade 6 Adding Mixed Numbers Worksheets | Math Worksheets - Free Printable

Let’s solve each problem step by step. We’re adding mixed numbers — that means a whole number plus a fraction. To add them, we:

1. Add the whole numbers together.
2. Add the fractions (but first, make sure they have the same bottom number — called the denominator).
3. If the fraction part becomes an improper fraction (top bigger than bottom), turn it into a mixed number and add the whole number part to the total.
4. Simplify if needed.

We’ll go one by one.

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Problem 1: 1⅓ + 2½

Whole numbers: 1 + 2 = 3
Fractions: ⅓ + ½ → need common denominator. Least common of 3 and 2 is 6.
⅓ = 2/6, ½ = 3/6 → 2/6 + 3/6 = 5/6
Total: 3 + 5/6 = 3⅚

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Problem 2: 3¼ + 5⅕

Whole numbers: 3 + 5 = 8
Fractions: ¼ + ⅕ → LCD of 4 and 5 is 20
¼ = 5/20, ⅕ = 4/20 → 5/20 + 4/20 = 9/20
Total: 8 + 9/20 = 8⁹⁄₂₀

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Problem 3: 2³⁄₇ + 4⅛

Whole numbers: 2 + 4 = 6
Fractions: ³⁄₇ + ⅛ → LCD of 7 and 8 is 56
³⁄₇ = 24/56, ⅛ = 7/56 → 24/56 + 7/56 = 31/56
Total: 6 + 31/56 = 6³¹⁄₅₆

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Problem 4: 7½ + 3⁵⁄₆

Whole numbers: 7 + 3 = 10
Fractions: ½ + ⁵⁄ → LCD of 2 and 6 is 6
½ = 3/6, so 3/6 + 5/6 = 8/6 → which is 1 and 2/6 → simplify 2/6 to 1/3 → so 1⅓
Now add that 1 to the whole number: 10 + 1 = 11, plus ⅓ → 11⅓

Wait — let me double-check:
½ = 3/6, 5/6 stays → 3/6 + 5/6 = 8/6 = 1 and 2/6 = 1 and 1/3 → yes.
So 7 + 3 = 10, plus 1 from the fraction = 11, plus 1/3 → 11⅓

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Problem 5: 4³⁄₇ + 5¾

Whole numbers: 4 + 5 = 9
Fractions: ³⁄₇ + ¾ → LCD of 7 and 4 is 28
³⁄₇ = 12/28, ¾ = 21/28 → 12/28 + 21/28 = 33/28 → which is 1 and 5/28
Add the 1 to whole number: 9 + 1 = 10, plus 5/28 → 10⁵⁄₂₈

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Problem 6: 3²⁄₅ + 6⅓

Whole numbers: 3 + 6 = 9
Fractions: ²⁄₅ + ⅓ → LCD of 5 and 3 is 15
²⁄₅ = 6/15, ⅓ = 5/15 → 6/15 + 5/15 = 11/15
Total: 9 + 11/15 = 9¹¹⁄₁₅

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Problem 7: 8³⁄₅ + 4⁷⁄₈

Whole numbers: 8 + 4 = 12
Fractions: ³⁄₅ + ⁷⁄₈ → LCD of 5 and 8 is 40
³⁄₅ = 24/40, ⁷⁄₈ = 35/40 → 24/40 + 35/40 = 59/40 → which is 1 and 19/40
Add 1 to whole number: 12 + 1 = 13, plus 19/40 → 13¹⁹⁄₄₀

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Problem 8: 5⅛ + 9²⁄₅

Whole numbers: 5 + 9 = 14
Fractions: ⅛ + ²⁄₅ → LCD of 8 and 5 is 40
⅛ = 5/40, ²⁄₅ = 16/40 → 5/40 + 16/40 = 21/40
Total: 14 + 21/40 = 14²¹⁄₄₀

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Problem 9: 7⁴⁄₅ + 8²⁄₃

Whole numbers: 7 + 8 = 15
Fractions: ⁴⁄₅ + ²⁄₃ → LCD of 5 and 3 is 15
⁴⁄ = 12/15, ²⁄₃ = 10/15 → 12/15 + 10/15 = 22/15 → which is 1 and 7/15
Add 1 to whole number: 15 + 1 = 16, plus 7/15 → 16⁷⁄₁₅

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Problem 10: 9²⁄₁₁ + 6⅓

Whole numbers: 9 + 6 = 15
Fractions: ²⁄₁₁ + ⅓ → LCD of 11 and 3 is 33
²⁄₁₁ = 6/33, ⅓ = 11/33 → 6/33 + 11/33 = 17/33
Total: 15 + 17/33 = 15¹⁷⁄₃₃

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Final Answer:
1. 3⅚
2. 8⁹⁄₂₀
3. 6³¹⁄₅
4. 11
5. 10⁄₂₈
6. 9¹¹⁄₁₅
7. 13¹⁹⁄₄₀
8. 14²¹⁄₄₀
9. 16⁷⁄₁₅
10. 15¹⁷⁄₃₃