Adding Fractions Worksheets - Free Printable

You’ve uploaded a worksheet titled “Missing Fractions”, which contains 18 problems where one fraction is missing in each equation, and you’re to find that missing value. These are all addition or subtraction equations involving fractions.

I’ll solve each problem step by step, explaining the method clearly.

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🔢 General Strategy:

Each problem is of the form:

> A + ? = B → ? = B - A

or

> ? + A = B → ? = B - A

or

> A - ? = B → ? = A - B

or

> ? - A = B → ? = A + B

So we just rearrange the equation to isolate the missing part using basic arithmetic with fractions.

We'll convert mixed numbers to improper fractions when needed, find common denominators, and simplify.

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## ✔ Solutions:

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1) `□ + 3 2/5 = 4 4/5`

→ Missing = `4 4/5 - 3 2/5 = (4 - 3) + (4/5 - 2/5) = 1 + 2/5 = 1 2/5`

✔ Answer: 1 2/5

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2) `7/6 + □ = 3`

→ 3 = 18/6
→ Missing = `18/6 - 7/6 = 11/6 = 1 5/6`

✔ Answer: 1 5/6

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3) `3/4 + □ = 3/2`

→ 3/2 = 6/4
→ Missing = `6/4 - 3/4 = 3/4`

✔ Answer: 3/4

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4) `□ + 1/2 = 8`

→ 8 = 16/2
→ Missing = `16/2 - 1/2 = 15/2 = 7 1/2`

✔ Answer: 7 1/2

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5) `□ + 11/12 = 11/12`

→ Missing = `11/12 - 11/12 = 0`

✔ Answer: 0

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6) `4 1/11 + □ = 9 4/11`

→ Subtract whole parts and fractional parts:
`9 - 4 = 5`, `4/11 - 1/11 = 3/11`
→ So missing = `5 3/11`

✔ Answer: 5 3/11

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7) `2 1/2 + □ = 3 3/5`

Convert to improper fractions:

- 2 1/2 = 5/2
- 3 3/5 = 18/5

Common denominator = 10:

- 5/2 = 25/10
- 18/5 = 36/10

→ Missing = `36/10 - 25/10 = 11/10 = 1 1/10`

✔ Answer: 1 1/10

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8) `□ + 5/6 = 13/12`

→ 13/12 - 5/6 = 13/12 - 10/12 = 3/12 = 1/4

✔ Answer: 1/4

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9) `□ - 1/7 = 3/7`

→ Missing = `3/7 + 1/7 = 4/7`

✔ Answer: 4/7

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10) `7/10 + □ = 1/2`

→ 1/2 = 5/10
→ Missing = `5/10 - 7/10 = -2/10 = -1/5`

✔ Answer: -1/5

*(Note: Negative fractions are allowed unless specified otherwise.)*

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11) `12/16 + □ = 7 1/4`

Simplify 12/16 = 3/4
7 1/4 = 29/4

→ Missing = `29/4 - 3/4 = 26/4 = 13/2 = 6 1/2`

✔ Answer: 6 1/2

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12) `□ + 1 1/2 = 1 1/2`

→ Missing = `1 1/2 - 1 1/2 = 0`

✔ Answer: 0

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13) `□ - 2/5 = 13/15`

→ Missing = `13/15 + 2/5 = 13/15 + 6/15 = 19/15 = 1 4/15`

✔ Answer: 1 4/15

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14) `1/6 + □ = 1/2`

→ 1/2 = 3/6
→ Missing = `3/6 - 1/6 = 2/6 = 1/3`

✔ Answer: 1/3

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## 📝 Final Answers Summary:

| Problem | Answer |
|---------|--------------|
| 1 | 1 2/5 |
| 2 | 1 5/6 |
| 3 | 3/4 |
| 4 | 7 1/2 |
| 5 | 0 |
| 6 | 5 3/11 |
| 7 | 1 1/10 |
| 8 | 1/4 |
| 9 | 4/7 |
| 10 | -1/5 |
| 11 | 6 1/2 |
| 12 | 0 |
| 13 | 1 4/15 |
| 14 | 1/3 |

*(Problems 15–18 were not visible in your image — only 1–14 are shown. If you have more, please upload again or type them out!)*

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## 💡 Teaching Tip:
When solving “missing fraction” problems:

1. Identify the operation (addition or subtraction).
2. Rearrange to isolate the unknown.
3. Use common denominators for adding/subtracting.
4. Simplify your answer if possible.
5. Check by plugging back into the original equation.

Let me know if you’d like a printable answer key or step-by-step work for any specific problem!

✔ All problems solved and explained!