Math worksheet for practicing addition of mixed fractions with unlike denominators.

Let’s solve each problem step by step. We’re adding mixed fractions with unlike denominators. That means we need to:

1. Add the whole numbers first.
2. Then add the fractions — but since they have different denominators, we must find a common denominator.
3. Simplify if needed (like turning an improper fraction into a mixed number).
4. Combine everything at the end.

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Problem 1: 1¼ + 1⅓

Whole numbers: 1 + 1 = 2

Fractions: ¼ + ⅓
Find common denominator of 4 and 3 → it’s 12.
¼ = 3/12
⅓ = 4/12
So, 3/12 + 4/12 = 7/12

Final answer: 2 + 7/12 = 2⁷⁄₁₂

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Problem 2: 2³⁄₈ + 1½

Whole numbers: 2 + 1 = 3

Fractions: ³⁄₈ + ½
Common denominator of 8 and 2 → 8
½ = 4/8
So, ³⁄₈ + ⁴⁄ = ⁷⁄

Final answer: 3 + ⁷⁄ = 3⁷⁄₈

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Problem 3: 2³⁄₈ + 2¾

Whole numbers: 2 + 2 = 4

Fractions: ³⁄₈ + ¾
Common denominator of 8 and 4 → 8
¾ = 6/8
So, ³⁄₈ + ⁶⁄₈ = ⁹⁄₈ → that’s more than 1!
⁹⁄ = 1¹⁄₈

Now add that extra 1 to the whole number part: 4 + 1 = 5
Plus the leftover ¹⁄₈ → 5¹⁄₈

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Problem 4: 2³⁄₅ + 1⅔

Whole numbers: 2 + 1 = 3

Fractions: ³⁄₅ + ⅔
Common denominator of 5 and 3 → 15
³⁄₅ = 9/15
⅔ = 10/15
So, 9/15 + 10/15 = 19/15 → again, more than 1!
19/15 = 1⁴⁄₁₅

Add the 1 to whole number: 3 + 1 = 4
Plus ⁴⁄₁₅ → 4⁴⁄₁₅

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Problem 5: 2⅔ + 1¾

Whole numbers: 2 + 1 = 3

Fractions: ⅔ + ¾
Common denominator of 3 and 4 → 12
⅔ = 8/12
¾ = 9/12
So, 8/12 + 9/12 = 17/12 → more than 1!
17/12 = 1⁵⁄₁₂

Add the 1 to whole number: 3 + 1 = 4
Plus ⁵⁄₁₂ → 4⁵⁄₁₂

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Problem 6: 1³⁄₇ + ½

Whole numbers: 1 + 0 = 1 (since ½ has no whole number)

Fractions: ³⁄₇ + ½
Common denominator of 7 and 2 → 14
³⁄₇ = 6/14
½ = 7/14
So, 6/14 + 7/14 = 13/14

Final answer: 1 + 13/14 = 1¹³⁄₁₄

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Final Answer:
1¼ + 1⅓ = 2⁷⁄₁₂
2³⁄₈ + 1½ = 3⁷⁄₈
2³⁄₈ + 2¾ = 5¹⁄₈
2³⁄₅ + 1⅔ = 4⁴⁄₁₅
2 + 1¾ = 4⁵⁄₁₂
1³⁄₇ + ½ = 1¹³⁄₁₄