Comparing Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, 1/3 is less than 1/2 because thirds are smaller than halves.
Grade 3 rule: when splitting into thirds versus halves, thirds are smaller pieces.
2. Grade 3 fact: 2/4 is equal to 1/2 because two fourths equals one half.
In Grade 3, 2/4 and 1/2 describe the same shaded amount, so they are equal.
3. In Grade 3, 3/4 is greater than 1/2 because three fourths is more than half.
Grade 3 benchmark: 3/4 sits above 1/2 on the number line, so it is greater.
4. Grade 3 learners say 4/8 is equal to 2/4 because both equal one half.
In Grade 3, 4/8 and 2/4 both simplify to one half, making them equal fractions.
5. In Grade 3, 5/10 is equal to 1/2 since 5 is exactly half of 10.
Grade 3 check: numerator exactly half of denominator means the fraction equals 1/2.
6. Grade 3 rule: 1/6 is less than 1/3 because sixths are smaller pieces than thirds.
In Grade 3, the same numerator with a bigger denominator makes the fraction less.
7. In Grade 3, 6/8 is greater than 1/2 since 6 is more than half of 8.
Grade 3 benchmark: 6 is greater than 4, so 6/8 is larger than one half.
8. Grade 3 practice: 1/4 is less than 1/2 because fourths are smaller halves.
In Grade 3, one fourth is half of one half, so 1/4 is less than 1/2.
9. In Grade 3, 3/6 is equal to 1/2 because three sixths is exactly half.
Grade 3 fact: 3/6 simplifies to 1/2, so the two fractions have equal value.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Grade 3: 1/3 vs 1/2
→ smaller than one half
smaller than one half
Grade 3: 2/4 vs 1/2
→ equal to one half
equal to one half
Grade 3: 3/4 vs 1/2
→ greater than one half
greater than one half
Grade 3: 1/6 vs 1/3
→ smaller than one third
smaller than one third
Grade 3 matching builds fluency with half benchmarks and equivalent fraction recognition.