Comparing fractions is one of the most important Grade 3 fraction skills because it teaches students to think about the size of the pieces, not just the numbers. A student who sees that 1/3 is greater than 1/6 is learning that a larger denominator can mean smaller pieces.
Use this worksheet for classroom review, tutoring, homework, or a short reteach lesson. Students should explain at least a few answers with words, pictures, or number-line reasoning.
Quick Teaching Review
1. Same Denominator
If the denominators are the same, compare the numerators.
Example: 5/8 > 3/8 because both fractions are eighths, and 5 eighths is more than 3 eighths.
2. Same Numerator
If the numerators are the same, the fraction with the smaller denominator is greater because the pieces are larger.
Example: 2/5 > 2/9 because fifths are larger pieces than ninths.
3. Use One-Half as a Benchmark
Students can compare fractions to 1/2 when the denominators are different.
Example: 3/8 is less than 1/2, but 5/8 is greater than 1/2. So 5/8 > 3/8.
4. Use Equivalent Fractions
Sometimes it helps to rename one fraction.
Example: 1/2 = 2/4, so 3/4 > 1/2.
Before Students Start
Ask students to circle the strategy they plan to use: same denominator, same numerator, benchmark 1/2, equivalent fractions, or number line. This small step slows down guessing and helps teachers see whether students are choosing efficient reasoning.
For Grade 3, it is fine if students use drawings often. The goal is not to rush to cross-multiplication. The goal is to understand what the numerator counts, what the denominator names, and why the size of the whole matters.
Grade 3 Comparing Fractions Worksheet
Write <, >, or = in each blank.
- 3/6 ___ 5/6
- 4/7 ___ 2/7
- 1/3 ___ 1/5
- 2/9 ___ 2/4
- 3/4 ___ 1/2
- 2/6 ___ 1/3
- 5/8 ___ 1/2
- 1/10 ___ 1/4
- 4/6 ___ 2/3
- 3/5 ___ 3/8
- 2/3 ___ 3/6
- 1/8 ___ 2/8
- 6/10 ___ 3/5
- 2/4 ___ 4/8
- 1/6 ___ 1/2
- 5/6 ___ 5/8
- 2/5 ___ 1/2
- 7/8 ___ 3/4
Word Problems
19. Mia ate 3/8 of a granola bar. Leo ate 5/8 of an identical granola bar. Who ate more?
20. One student shaded 1/4 of a rectangle. Another student shaded 1/6 of the same-size rectangle. Which shaded part is larger?
21. A number line is marked from 0 to 1. Which point is farther from 0: 2/3 or 3/6?
22. A pizza is cut into 8 equal slices. Sam eats 4 slices. Ava eats 1/2 of an identical pizza. Did they eat the same amount?
23. Nora ran 2/6 of a mile. Ben ran 1/3 of a mile on the same trail. Who ran farther?
24. A ribbon is split into fourths. Another same-length ribbon is split into eighths. Which is longer, 3/4 of the first ribbon or 6/8 of the second ribbon?
Answer Key with Explanations
1. 3/6 < 5/6. Same denominator; compare 3 and 5.
2. 4/7 > 2/7. Same denominator; 4 sevenths is greater than 2 sevenths.
3. 1/3 > 1/5. Thirds are larger pieces than fifths.
4. 2/9 < 2/4. With the same numerator, fourths are larger pieces than ninths.
5. 3/4 > 1/2 because 1/2 = 2/4.
6. 2/6 = 1/3 because 2/6 simplifies to 1/3.
7. 5/8 > 1/2 because 1/2 = 4/8.
8. 1/10 < 1/4. Tenths are smaller pieces than fourths.
9. 4/6 = 2/3 because 4/6 simplifies to 2/3.
10. 3/5 > 3/8. With the same numerator, fifths are larger pieces than eighths.
11. 2/3 > 3/6 because 3/6 = 1/2, and 2/3 is greater than 1/2.
12. 1/8 < 2/8. Same denominator; 1 eighth is less than 2 eighths.
13. 6/10 = 3/5 because 6/10 simplifies to 3/5.
14. 2/4 = 4/8 because both fractions equal 1/2.
15. 1/6 < 1/2 because sixths are smaller pieces and only one sixth is shaded.
16. 5/6 > 5/8. With the same numerator, sixths are larger than eighths.
17. 2/5 < 1/2 because 2/5 = 4/10 and 1/2 = 5/10.
18. 7/8 > 3/4 because 3/4 = 6/8.
19. Leo ate more because 5/8 > 3/8.
20. 1/4 is larger because fourths are larger pieces than sixths.
21. 2/3 is farther from 0 because 3/6 = 1/2 and 2/3 is greater than 1/2.
22. Yes. Sam ate 4/8, and 4/8 = 1/2.
23. They ran the same distance because 2/6 = 1/3.
24. They are the same length because 3/4 = 6/8.
Common Mistakes
Mistake 1: Bigger Denominator Means Bigger Fraction
Students may think 1/8 is greater than 1/4 because 8 is greater than 4. Use fraction strips or a quick sketch to show that one eighth is a smaller piece than one fourth.
Mistake 2: Comparing Only the Numerators
For 3/5 and 3/8, the numerators are the same, so students need to compare the size of the pieces. Fifths are larger than eighths.
Mistake 3: Forgetting the Whole Must Be the Same Size
Fractions can only be compared fairly when the wholes are the same size. One half of a small cookie is not the same amount as one half of a large pizza.
Small-Group Reteach Routine
If students miss more than three problems, sort the errors before reteaching. Same-denominator errors usually need counting practice. Same-numerator errors need visual models that show why fifths are larger than eighths. Benchmark errors need repeated comparisons to 1/2 on a number line.
A simple reteach routine is: build it, say it, compare it, then write it. First, students shade both fractions. Next, they explain the piece size. Then they place the fractions on a 0 to 1 number line. Last, they write the comparison symbol and one sentence of reasoning.
How to Use This Worksheet
For quick practice, have students solve Problems 1-18 and check answers immediately. For deeper review, ask students to pick three problems and draw a model for each. The drawing step is especially helpful for same-numerator questions, where students often need to see why the denominator changes the piece size.
For homework or tutoring, assign the word problems separately and require a written explanation. A strong Grade 3 answer does not need formal algebra; it should name the whole, compare the fraction sizes, and use words such as greater than, less than, equal to, closer to 0, or closer to 1.
Browse ViewMath Grade 3 resources at viewmath.com/books/grade-3-math/.
