Comparing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 3, which fraction is both less than 3/4 AND greater than 1/2?
A) 5/8
B) 1/4
C) 7/8
D) 1/3
Grade 3 logic: 5/8 sits between 4/8 and 6/8, so it lies between 1/2 and 3/4.
2. In Grade 3, which fraction is between 1/3 and 2/3 on a number line?
A) 3/6
B) 1/6
C) 5/6
D) 6/6
Grade 3 conversion: 1/3 equals 2/6 and 2/3 equals 4/6, so 3/6 sits between them.
3. In Grade 3, which fraction is greater than 2/5 AND less than 4/5?
A) 3/5
B) 1/5
C) 5/5
D) 1/2
Grade 3 fact: 3/5 falls between 2/5 and 4/5 since 3 sits between 2 and 4.
4. In Grade 3, which fraction is less than 1 but greater than 3/4?
A) 7/8
B) 1/2
C) 2/4
D) 1/4
Grade 3 check: 3/4 equals 6/8 and 1 equals 8/8, so 7/8 fits in between them.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 3, a fraction between 1/2 and 1 with denominator 8 could be 5/8.
Grade 3 reasoning: 5/8 sits above 4/8 and below 8/8, matching both conditions.
2. Grade 3 puzzle: 2/6 is less than 4/6 and greater than 1/6 using numerator 1.
In Grade 3, 1/6 is less than 2/6, satisfying the condition with numerator 1.
3. In Grade 3, a fraction between 2/4 and 4/4 with denominator 4 is 3/4.
Grade 3 logic: 3 is the only whole number between 2 and 4, so 3/4 fits.
4. Grade 3 challenge: fraction less than 5/6 and greater than 3/6 is 4/6.
In Grade 3, 4 is the only whole number between 3 and 5, giving 4/6 as the answer.
5. In Grade 3, a fraction greater than 1/3 and less than 3/3 with denominator 3 is 2/3.
Grade 3 reasoning: 2 is the only integer between 1 and 3, making 2/3 the answer.