Comparing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 3, 3/__ > 3/6 means the missing denominator could be which value?
A) 4
B) 8
C) 10
D) 12
Grade 3 rule: same numerator, smaller denominator is greater, so 3/4 is greater than 3/6.
2. In Grade 3, 2/5 < __/5 makes the missing numerator which possible value?
A) 4
B) 1
C) 0
D) 2
Grade 3 fact: with same denominator 5, a numerator larger than 2 like 4 works best.
3. In Grade 3, __/8 = 1/2 means the missing numerator equals which value?
A) 4
B) 2
C) 6
D) 8
Grade 3 equivalence: half of 8 is 4, so 4/8 equals 1/2 exactly on the number line.
4. In Grade 3, 5/__ < 5/8 means the missing denominator could be which value?
A) 10
B) 6
C) 4
D) 2
Grade 3 rule: same numerator, larger denominator is less, so 5/10 is less than 5/8.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 3, 4/__ > 4/8 works when the missing denominator is 6 (less than 8).
Grade 3 rule: 4/6 uses larger sixth pieces than eighths, so 4/6 is greater than 4/8.
2. Grade 3 puzzle: __/6 = 1/2 gives missing numerator value equal to 3.
In Grade 3, 3 is half of 6, making 3/6 equivalent to 1/2 on the number line.
3. In Grade 3, 2/__ = 1/3 means the missing denominator must equal 6.
Grade 3 equivalence: doubling both parts of 1/3 gives 2/6, so denominator 6 works.
4. Grade 3 challenge: 7/10 > __/10 works with missing numerator 5 (less than 7).
In Grade 3, any numerator under 7 like 5 makes 5/10 less than 7/10 clearly.
5. In Grade 3, 3/__ < 3/4 works when the missing denominator equals 6 (more than 4).
Grade 3 rule: 3/6 has smaller sixth pieces than fourths, so 3/6 is less than 3/4.