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Comparing Fractions with Unlike DenominatorsFREEWorksheet Generator(Grade 4)

Comparing Fractions with Unlike Denominators worksheets with step-by-step answer keys. Generate unlimited unique practice sheets for Grade 4.

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📄 Sheet #1•10 Problems

PanMaths.comComparing Fractions with Unlike Denominators Worksheet Generator • Worksheet #1

Name: __________________________

Date: _____________ Period: ____

Score: _____ / 10

58___26= ______

Workspace:

37___12= ______

Workspace:

34___47= ______

Workspace:

13___12= ______

Workspace:

48___810= ______

Workspace:

48___89= ______

Workspace:

15___19= ______

Workspace:

27___45= ______

Workspace:

56___28= ______

Workspace:

10.

47___46= ______

Workspace:

PanMaths.com • Free Math Worksheet GeneratorPage 1 of 2

PanMaths.comAnswer Key & Worked Solutions • Worksheet #1

Answer Key

Total Problems: 10

58___26= >

1. Cross-Multiply (Butterfly Method): (5 × 6) vs (2 × 8) ➔ 30 vs 16

2. Convert to Common Denominator (24): 5/8 = 15/24; 2/6 = 8/24

3. Comparison: 5/8 > 2/6 ✅

37___12= <

1. Cross-Multiply (Butterfly Method): (3 × 2) vs (1 × 7) ➔ 6 vs 7

2. Convert to Common Denominator (14): 3/7 = 6/14; 1/2 = 7/14

3. Comparison: 3/7 < 1/2 ✅

34___47= >

1. Cross-Multiply (Butterfly Method): (3 × 7) vs (4 × 4) ➔ 21 vs 16

2. Convert to Common Denominator (28): 3/4 = 21/28; 4/7 = 16/28

3. Comparison: 3/4 > 4/7 ✅

13___12= <

1. Cross-Multiply (Butterfly Method): (1 × 2) vs (1 × 3) ➔ 2 vs 3

2. Convert to Common Denominator (6): 1/3 = 2/6; 1/2 = 3/6

3. Comparison: 1/3 < 1/2 ✅

48___810= <

1. Cross-Multiply (Butterfly Method): (4 × 10) vs (8 × 8) ➔ 40 vs 64

2. Convert to Common Denominator (40): 4/8 = 20/40; 8/10 = 32/40

3. Comparison: 4/8 < 8/10 ✅

48___89= <

1. Cross-Multiply (Butterfly Method): (4 × 9) vs (8 × 8) ➔ 36 vs 64

2. Convert to Common Denominator (72): 4/8 = 36/72; 8/9 = 64/72

3. Comparison: 4/8 < 8/9 ✅

15___19= >

1. Cross-Multiply (Butterfly Method): (1 × 9) vs (1 × 5) ➔ 9 vs 5

2. Convert to Common Denominator (45): 1/5 = 9/45; 1/9 = 5/45

3. Comparison: 1/5 > 1/9 ✅

27___45= <

1. Cross-Multiply (Butterfly Method): (2 × 5) vs (4 × 7) ➔ 10 vs 28

2. Convert to Common Denominator (35): 2/7 = 10/35; 4/5 = 28/35

3. Comparison: 2/7 < 4/5 ✅

56___28= >

1. Cross-Multiply (Butterfly Method): (5 × 8) vs (2 × 6) ➔ 40 vs 12

2. Convert to Common Denominator (24): 5/6 = 20/24; 2/8 = 6/24

3. Comparison: 5/6 > 2/8 ✅

10.

47___46= <

1. Cross-Multiply (Butterfly Method): (4 × 6) vs (4 × 7) ➔ 24 vs 28

2. Convert to Common Denominator (42): 4/7 = 24/42; 4/6 = 28/42

3. Comparison: 4/7 < 4/6 ✅

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

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Worksheet Info

Categoryfractions

Grade LevelGrade 4

DifficultyIntermediate (Unlike Denominators up to 16)

Time15-20 min

CCSS CodeCCSS.MATH.CONTENT.4.NF.A.2

Skills Practiced

✓ Comparing fractions with different denominators
✓ Cross-multiplication (Butterfly Method)
✓ Converting to common denominators (LCD)
✓ Inequality symbols (<, >, =)

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Related Worksheets

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📜 Standard: CCSS.MATH.CONTENT.4.NF.A.2

Mastering Comparing Fractions with Unlike Denominators: Core Concepts & Mental Models

Comparing Fractions with Unlike Denominators worksheets with step-by-step answer keys. Generate unlimited unique practice sheets for Grade 4.

⚠️ Common Mistakes & Teacher Fixes

⚠️Thinking Larger Denominator Means Larger Fraction (e.g. 1/8 > 1/4)

Why students stumble: Students associate larger whole numbers with larger size, forgetting that dividing a whole into more slices makes each slice smaller.

Teacher Fix: Remember that the denominator represents the number of cuts: 1/4 of a pizza is twice as large as 1/8 of the same pizza.

Example: 1/4 > 1/8 because fourth-slices are larger than eighth-slices.

⚠️Cross-Multiplying Downward Instead of Upward

Why students stumble: Students multiply the numerator by the opposing numerator, confusing the cross-product placement.

Teacher Fix: Always multiply bottom to top: denominator of the second fraction multiplies the numerator of the first, placing the product above the first fraction.

Example: For 2/3 vs 3/5: (2 × 5) = 10 on the left, (3 × 3) = 9 on the right. Since 10 > 9, 2/3 > 3/5.

❓ Frequently Asked Questions

What is the core learning objective for comparing fractions with unlike denominators?

Comparing Fractions with Unlike Denominators worksheets with step-by-step answer keys. Generate unlimited unique practice sheets for Grade 4. This directly aligns with Common Core Standard CCSS.MATH.CONTENT.4.NF.A.2.

What is the most common mistake students make with comparing fractions with unlike denominators?

A frequent pitfall is: "Thinking Larger Denominator Means Larger Fraction (e.g. 1/8 > 1/4)". Why students stumble: Students associate larger whole numbers with larger size, forgetting that dividing a whole into more slices makes each slice smaller. How to fix it: Remember that the denominator represents the number of cuts: 1/4 of a pizza is twice as large as 1/8 of the same pizza. (Example: 1/4 > 1/8 because fourth-slices are larger than eighth-slices.)

How does the unlimited comparing fractions with unlike denominators worksheet generator work?

Every click of 'Generate New Worksheet' creates a completely fresh set of comparing fractions with unlike denominators 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).

Are these comparing fractions with unlike denominators worksheets free to print with answer keys?

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.