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Set A • 10 Qs

PanMaths.comAdding & Subtracting Like Fractions Worksheets • Set A (Medium)

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

1.48+28

= ______

Workspace:

2.47−17

= ______

Workspace:

3.14+14

= ______

Workspace:

4.35−25

= ______

Workspace:

5.37+27

= ______

Workspace:

6.45−25

= ______

Workspace:

7.710+110

= ______

Workspace:

8.23−13

= ______

Workspace:

9.17+17

= ______

Workspace:

10.69−29

= ______

Workspace:

PanMaths.com • Free Math Worksheet Generator • Set A (Medium)Page 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Set A (Medium)

Answer Key

Total Problems: 10

1.48+28

= 3/4

1. Like Denominators: Both fractions share denominator 8. Keep the denominator.

2. Add Numerators: 4 + 2 = 6 → 6/8

3. Reduce to Simplest Form (divide by GCD 2): 3/4 ✅

2.47−17

= 3/7

1. Like Denominators: Both fractions share denominator 7. Keep the denominator.

2. Subtract Numerators: 4 − 1 = 3 → 3/7

3. Simplest Form: 3/7 ✅

3.14+14

= 1/2

1. Like Denominators: Both fractions share denominator 4. Keep the denominator.

2. Add Numerators: 1 + 1 = 2 → 2/4

3. Reduce to Simplest Form (divide by GCD 2): 1/2 ✅

4.35−25

= 1/5

1. Like Denominators: Both fractions share denominator 5. Keep the denominator.

2. Subtract Numerators: 3 − 2 = 1 → 1/5

3. Simplest Form: 1/5 ✅

5.37+27

= 5/7

1. Like Denominators: Both fractions share denominator 7. Keep the denominator.

2. Add Numerators: 3 + 2 = 5 → 5/7

3. Simplest Form: 5/7 ✅

6.45−25

= 2/5

1. Like Denominators: Both fractions share denominator 5. Keep the denominator.

2. Subtract Numerators: 4 − 2 = 2 → 2/5

3. Simplest Form: 2/5 ✅

7.710+110

= 4/5

1. Like Denominators: Both fractions share denominator 10. Keep the denominator.

2. Add Numerators: 7 + 1 = 8 → 8/10

3. Reduce to Simplest Form (divide by GCD 2): 4/5 ✅

8.23−13

= 1/3

1. Like Denominators: Both fractions share denominator 3. Keep the denominator.

2. Subtract Numerators: 2 − 1 = 1 → 1/3

3. Simplest Form: 1/3 ✅

9.17+17

= 2/7

1. Like Denominators: Both fractions share denominator 7. Keep the denominator.

2. Add Numerators: 1 + 1 = 2 → 2/7

3. Simplest Form: 2/7 ✅

10.69−29

= 4/9

1. Like Denominators: Both fractions share denominator 9. Keep the denominator.

2. Subtract Numerators: 6 − 2 = 4 → 4/9

3. Simplest Form: 4/9 ✅

PanMaths.com • Answer Key & Worked SolutionsPage 2 of 2

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Worksheet Info

Categorygrade-4

Grade LevelGrade 4

DifficultyEasy, Medium, Hard, Sprint

Time5-10 min

CCSS CodeCCSS.MATH.CONTENT.4.NF.B.3

Skills Practiced

✓ Adding & Subtracting Like Fractions

Key Strategies

🍕 Keep the Common Denominator Constant: Because the pieces are identical sizes (same unit parts), the denominator never changes during addition or subtraction (e.g., 2/7 + 3/7 has denominator 7).
➕ Add or Subtract Only the Numerators: Perform the arithmetic directly on the numerators: a/d + b/d = (a + b)/d and a/d − b/d = (a − b)/d.
✂️ Simplify the Result to Lowest Terms: After computing the raw answer, find the GCF of the numerator and denominator and divide both to express the final answer in simplest form (e.g., 2/8 + 2/8 = 4/8 = 1/2).
🔄 Convert Improper Sums to Mixed Numbers: When the sum numerator equals or exceeds the denominator, divide the numerator by denominator to express the answer as a mixed number (e.g., 5/6 + 4/6 = 9/6 = 1 3/6 = 1 1/2).

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📄 Equivalent Fractions & SimplifyingView →📄 Comparing Unlike FractionsView →📄 Multiplying Fractions by Whole NumbersView →📄 Decimals: Tenths and HundredthsView →📄 Decimals on a Number LineView →📄 Comparing & Ordering DecimalsView →

📜 Standard: CCSS.MATH.CONTENT.4.NF.B.3🔗 CCSS.MATH.CONTENT.4.NF.B.3.A🔗 CCSS.MATH.CONTENT.4.NF.B.3.B🔗 CCSS.MATH.CONTENT.4.NF.B.3.C

Mastering Adding & Subtracting Like Fractions: Core Concepts & Mental Models

Adding and subtracting fractions with like denominators builds directly on foundational fraction concepts. Under CCSS 4.NF.B.3, students recognize that when denominators are identical, the pieces are already equal in size; operations are performed strictly by joining or separating numerators while keeping the common denominator constant.

Worked Example & SolutionTeacher Step-by-Step Method

📝 Problem: 1. Solve: 3/8 + 1/8. 2. Solve: 7/10 − 3/10.

Worked Solution: 1. For 3/8 + 1/8: Like denominators: keep 8. Add numerators: 3 + 1 = 4 → 4/8. Simplify by dividing by GCF(4, 8) = 4: (4 ÷ 4) / (8 ÷ 4) = 1/2. Result = 1/2. 2. For 7/10 − 3/10: Like denominators: keep 10. Subtract numerators: 7 − 3 = 4 → 4/10. Simplify by dividing by GCF(4, 10) = 2: (4 ÷ 2) / (10 ÷ 2) = 2/5. Result = 2/5.

💡 Essential Strategies for Adding & Subtracting Like Fractions

🍕 Keep the Common Denominator Constant

Because the pieces are identical sizes (same unit parts), the denominator never changes during addition or subtraction (e.g., 2/7 + 3/7 has denominator 7).

➕ Add or Subtract Only the Numerators

Perform the arithmetic directly on the numerators: a/d + b/d = (a + b)/d and a/d − b/d = (a − b)/d.

✂️ Simplify the Result to Lowest Terms

After computing the raw answer, find the GCF of the numerator and denominator and divide both to express the final answer in simplest form (e.g., 2/8 + 2/8 = 4/8 = 1/2).

🔄 Convert Improper Sums to Mixed Numbers

When the sum numerator equals or exceeds the denominator, divide the numerator by denominator to express the answer as a mixed number (e.g., 5/6 + 4/6 = 9/6 = 1 3/6 = 1 1/2).

⚠️ Common Mistakes & Teacher Fixes

⚠️Adding the denominators together (e.g., 2/5 + 1/5 = 3/10)

Why students stumble: Applying whole number addition rules to both the top and bottom of the fraction.

Teacher Fix: The denominator tells you the size of the slice; only add the count of slices (the numerators). The denominator remains unchanged.

Example: 2 fifths + 1 fifth = 3 fifths (3/5, not 3/10).

⚠️Subtracting denominators (e.g., 5/8 − 2/8 = 3/0)

Why students stumble: Attempting to subtract across both rows.

Teacher Fix: Never subtract denominators. Dividing by 0 is undefined. Keep the denominator 8 and compute 5 − 2 = 3 → 3/8.

Example: 5/8 − 2/8 = 3/8.

⚠️Forgetting to reduce the final sum or difference to lowest terms

Why students stumble: Stopping immediately after performing the numerator arithmetic.

Teacher Fix: Always check if the final numerator and denominator share any common factor greater than 1.

Example: 6/8 must be simplified to 3/4 by dividing by 2/2.

📖 Key Mathematical Vocabulary

Like Denominators

Fractions that have the exact same number in their denominator, representing equal-sized parts of identical wholes.

Unit Fraction

A fraction with a numerator of 1 (such as 1/5 or 1/8) representing a single part of the whole.

Improper Fraction

A fraction where the numerator is greater than or equal to the denominator, representing a value of 1 or greater.

Mixed Number

A number composed of a non-zero whole number and a proper fraction combined (such as 1 1/2).

❓ Frequently Asked Questions

How do you solve a adding & subtracting like fractions problem step by step?

Here is a worked example: "1. Solve: 3/8 + 1/8. 2. Solve: 7/10 − 3/10.". Solution: 1. For 3/8 + 1/8: Like denominators: keep 8. Add numerators: 3 + 1 = 4 → 4/8. Simplify by dividing by GCF(4, 8) = 4: (4 ÷ 4) / (8 ÷ 4) = 1/2. Result = 1/2. 2. For 7/10 − 3/10: Like denominators: keep 10. Subtract numerators: 7 − 3 = 4 → 4/10. Simplify by dividing by GCF(4, 10) = 2: (4 ÷ 2) / (10 ÷ 2) = 2/5. Result = 2/5.

What is the core learning objective for adding & subtracting like fractions?

Understand addition and subtraction of fractions as joining and separating parts referring to the same whole, add and subtract fractions with like denominators, and reduce results to simplest form. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.4.NF.B.3.

What is the most common mistake students make with adding & subtracting like fractions?

A frequent pitfall is: "Adding the denominators together (e.g., 2/5 + 1/5 = 3/10)". Why students stumble: Applying whole number addition rules to both the top and bottom of the fraction. How to fix it: The denominator tells you the size of the slice; only add the count of slices (the numerators). The denominator remains unchanged. (Example: 2 fifths + 1 fifth = 3 fifths (3/5, not 3/10).)

How does the unlimited adding & subtracting like fractions worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of adding & subtracting like fractions problems with unique numbers. No two worksheets are ever the same — perfect for daily practice, homework variety, and preventing student copying. You can also customize the problem count (6, 8, 10, 12, 15, or 20 problems per sheet).

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Yes! Every single worksheet on PanMaths is 100% free with no sign-up needed. Each sheet includes a dedicated Answer Key on Page 2 with step-by-step intermediate evaluation lines for 1-minute grading.