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 denominator).
3. If the fraction part adds up to more than 1, turn it into a mixed number and add the whole number part to your total.

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. LCM 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 → LCM 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 + 4¹⁄₈

Whole numbers: 2 + 4 = 6
Fractions: ³⁄₇ + ¹⁄₈ → LCM of 7 and 8 is 56.
³⁄₇ = 24/56, ¹⁄₈ = 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⁄ → LCM of 2 and 6 is 6.
½ = 3/6, so 3/6 + 5/6 = 8/6 = 1²⁄₆
Now add that 1 to the whole number: 10 + 1 = 11, plus ²⁄₆ → simplify ²⁄₆ to ¹⁄₃
Total: 11¹⁄₃

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Problem 5: 4³⁄₇ + 5³⁄₄

Whole numbers: 4 + 5 = 9
Fractions: ³⁄₇ + ³⁄₄ → LCM of 7 and 4 is 28.
³⁄₇ = 12/28, ³⁄₄ = 21/28 → 12/28 + 21/28 = 33/28 = 1⁵⁄₂₈
Add the 1 to whole number: 9 + 1 = 10, plus ⁵⁄₂₈
Total: 10⁵⁄₂₈

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Problem 6: 3²⁄₅ + 6¹⁄₃

Whole numbers: 3 + 6 = 9
Fractions: ²⁄₅ + ¹⁄₃ → LCM of 5 and 3 is 15.
²⁄₅ = 6/15, ¹⁄₃ = 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 → LCM of 5 and 8 is 40.
³⁄₅ = 24/40, ⁷⁄₈ = 35/40 → 24/40 + 35/40 = 59/40 = 1¹⁹⁄₄₀
Add the 1 to whole number: 12 + 1 = 13, plus ¹⁹⁄₀
Total: 13¹⁹⁄₄₀

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Problem 8: 5¹⁄₈ + 9²⁄₅

Whole numbers: 5 + 9 = 14
Fractions: ¹⁄₈ + ²⁄₅ → LCM of 8 and 5 is 40.
¹⁄₈ = 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 → LCM of 5 and 3 is 15.
⁴⁄₅ = 12/15, ²⁄₃ = 10/15 → 12/15 + 10/15 = 22/15 = 1⁷⁄₁₅
Add the 1 to whole number: 15 + 1 = 16, plus ⁷⁄₁₅
Total: 16⁷⁄₁₅

Wait — ⁷⁄₁₅ can’t be simplified? Actually, 22/15 is 1 and 7/15 — yes, correct. But let me double-check: 12+10=22, yes. 22-15=7, so 1 and 7/15. Correct.

But wait — 16⁷⁄₁₅ is fine, but sometimes we write improper fractions as mixed numbers — this already is. So okay.

Actually, hold on — 7⁴⁄₅ + 8²⁄₃:

Whole: 7+8=15
Fraction: 4/5 + 2/3 = (12 + 10)/15 = 22/15 = 1 7/15
So total: 15 + 1 = 16, and 7/15 → 16⁷⁄₁₅

Yes.

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Problem 10: 9²⁄₁₁ + 6¹⁄₃

Whole numbers: 9 + 6 = 15
Fractions: ²⁄₁₁ + ¹⁄₃ → LCM of 11 and 3 is 33.
²⁄₁₁ = 6/33, ¹⁄₃ = 11/33 → 6/33 + 11/33 = 17/33
Total: 15 + 17/33 = 15¹⁷⁄₃

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Now let’s list all final answers clearly:

Final Answer:
1. 3⅚
2. 8⁹⁄₂₀
3. 6³¹⁄₅₆
4. 11¹⁄₃
5. 10⁵⁄₂₈
6. 9¹¹⁄₁₅
7. 13¹⁹⁄₀
8. 14²¹⁄₄₀
9. 16⁷⁄₁₅
10. 15¹⁷⁄₃₃