Answer Keys: Comparing & Equivalent Fractions

Grade 3 Mathematics | FAST Success Kit

Teacher/Parent Resource: This page contains all answers. Keep separate from student materials.
Student Concept Worksheet Answers

Compare These Fractions

3/8 ○ 5/8
<
4/6 ○ 4/10
>
2/4 ○ 4/8
=
2/3 ○ 2/5
>

Find Equivalent Fractions

1/2 =
2/4
2/6 =
1/3
3/4 =
6/8
Practice Worksheet Answers

Part A: Same Denominator

1. 2/5 ○ 4/5
<
2. 5/8 ○ 3/8
>
3. 7/10 ○ 3/10
>
4. 4/6 ○ 4/6
=
5. 1/4 ○ 3/4
<
6. 9/12 ○ 5/12
>
7. 2/3 ○ 1/3
>
8. 6/8 ○ 7/8
<

Part B: Same Numerator

9. 1/3 ○ 1/6
>
10. 2/8 ○ 2/4
<
11. 3/5 ○ 3/10
>
12. 4/12 ○ 4/6
<
13. 5/6 ○ 5/8
>
14. 2/5 ○ 2/3
<
15. 1/2 ○ 1/8
>
16. 3/4 ○ 3/6
>

Part C: Equivalent Fractions

17. 1/2 =
3/6
18. 2/4 =
4/8
19. 1/3 =
2/6
20. 4/6 =
2/3
21. 3/4 =
6/8
22. 2/8 =
1/4

Part D: Number Line Comparisons

23. 1/4 ○ 3/4
<
24. 2/6 ○ 4/6
<

Part E: Order from Least to Greatest

25. Order: 5/8, 1/8, 7/8
1/8 < 5/8 < 7/8 (Same denominator—compare numerators)
26. Order: 2/3, 2/6, 2/4
2/6 < 2/4 < 2/3 (Same numerator—smaller denominator = bigger pieces)
FAST Practice Quiz Answers
1
B. <
3/8 < 6/8. Same denominator—compare numerators. 3 < 6.
2
B. 2/4 > 2/6
Same numerator (2 pieces each). Fourths are bigger pieces than sixths, so 2/4 > 2/6.
3
B. 2/4
2/4 = 1/2. Both represent half of a whole.
4
C. 1/4 < 3/4
Point A (1/4) is to the left of Point B (3/4) on the number line. Farther right = greater.
5
A. Yes, Maya is correct.
With the same numerator, compare piece sizes. Fifths are larger than eighths, so 3/5 > 3/8.
6
B. 2/6 and 1/3
2/6 = 1/3. Both represent the same amount of a whole.
7
C. 2/4 = 4/8
Both models show the same amount shaded (half). 2/4 and 4/8 are equivalent fractions.
8
B. 2/10, 5/10, 8/10
Same denominator—order by numerator. 2 < 5 < 8.
9
A. Carlos ate more because fourths are bigger pieces than sixths.
1/4 > 1/6. Same numerator, so compare piece size. Fewer cuts (4) = bigger pieces.
10
A. 2/3
4/6 = 2/3. Both represent the same portion of a whole.

Scoring Guide

Assessment Total Points Proficient (70%+) Needs Support
Student Concept Worksheet 7 points 5+ correct Review fraction strips
Practice Worksheet 26 points 18+ correct Focus on same numerator problems
FAST Practice Quiz 10 points 7+ correct Use visual models more

Common Errors: Thinking larger denominator = larger fraction, ignoring that same numerator requires comparing piece size, not recognizing equivalent fractions.

FAST Success Kit | Grade 3 | FL B.E.S.T. Standards: MA.3.FR.2.1, MA.3.FR.2.2