ANSWER KEYS - Teacher Use Only

Fraction Equivalence | Grade 4

Student Concept Worksheet Answers
1
6/9
2/3 = 6/9 (multiply both by 3: 2x3=6, 3x3=9)
2
2/3
8/12 = 2/3 (divide both by 4: 8/4=2, 12/4=3)
3
YES - They are equivalent
3/4 = 9/12 (multiply both by 3: 3x3=9, 4x3=12)
4
5/8 < 2/3
5/8 is slightly greater than 1/2 (since 4/8=1/2). 2/3 is also greater than 1/2 (since 3/6=1/2). Finding common denominator: 5/8 = 15/24 and 2/3 = 16/24. So 5/8 < 2/3.
Practice Worksheet Answers

Part A: Find Equivalent Fractions

# Original Answer Work
11/4 = ?/82/8x2: 1x2=2, 4x2=8
22/3 = ?/128/12x4: 2x4=8, 3x4=12
33/5 = 9/?9/15x3: 3x3=9, 5x3=15
45/6 = ?/1815/18x3: 5x3=15, 6x3=18

Part B: Simplify to Lowest Terms

# Original Answer Work
54/81/2/4: 4/4=1, 8/4=2
66/92/3/3: 6/3=2, 9/3=3
710/125/6/2: 10/2=5, 12/2=6
89/153/5/3: 9/3=3, 15/3=5

Part C: Compare Fractions

# Comparison Answer Explanation
93/4 ? 5/8>3/4 = 6/8, and 6/8 > 5/8
102/5 ? 4/10=2/5 = 4/10 (equivalent fractions)
117/12 ? 1/2>1/2 = 6/12, and 7/12 > 6/12
122/3 ? 3/4<2/3 = 8/12, 3/4 = 9/12, so 8/12 < 9/12

Part D: Order Fractions

13
1/4, 1/2, 5/8, 3/4
Convert all to eighths: 1/4=2/8, 1/2=4/8, 5/8, 3/4=6/8. Order: 2/8, 4/8, 5/8, 6/8
14
1/6, 1/2, 2/3, 5/6
All in sixths: 1/6, 1/2=3/6, 2/3=4/6, 5/6. Order: 1/6, 3/6, 4/6, 5/6

Challenge Questions:

#15: YES, Maya is correct. 4/6 = 2/3 (divide by 2) and 6/9 = 2/3 (divide by 3). Both simplify to 2/3, so they are equivalent.

#16: Possible answers include: 2/4, 3/6, 4/8, 5/10, 6/12, etc. (any fraction where numerator is half of denominator)

FAST Practice Quiz Answers
1
B) 6/9
2/3 = 6/9 (multiply both by 3). Note: C) 4/6 is also equivalent but B is the expected answer based on the multiplication pattern.
2
B) 2/3
8/12 - divide both by 4: 8/4=2, 12/4=3. So 8/12 = 2/3. Note: A) 4/6 is equivalent but not in simplest form.
3
A) Model A shows 3/4 and Model B shows 6/8. They are equivalent.
Model A: 3 of 4 parts = 3/4. Model B: 6 of 8 parts = 6/8. Since 3/4 = 6/8 (multiply by 2), they are equivalent.
4
Select: 2/4, 4/8, and 5/10
2/4 = 1/2 (divide by 2)
3/5 - NOT equivalent (3/5 = 0.6, not 0.5)
4/8 = 1/2 (divide by 4)
5/10 = 1/2 (divide by 5)
6/10 = 3/5 - NOT equivalent
5
C) 2/3 > 5/8
A) 3/8 > 1/2? NO - 3/8 < 4/8 = 1/2 X
B) 5/6 < 3/4? NO - 5/6 = 10/12, 3/4 = 9/12, so 5/6 > 3/4 X
C) 2/3 > 5/8? YES - 2/3 = 16/24, 5/8 = 15/24, so 2/3 > 5/8 Correct
D) 7/10 = 3/4? NO - 7/10 = 0.7, 3/4 = 0.75 X
6
A) Sarah ate more
Sarah: 3/4 = 9/12. Tom: 4/6 = 8/12. Since 9/12 > 8/12, Sarah ate more pizza.
FAST Quiz Scoring Guide
Score Interpretation Recommended Action
6/6 Mastery Ready for IXL practice on fraction operations. Consider extension to adding/subtracting fractions.
4-5/6 Approaching Mastery Review missed concepts. Focus on simplifying or comparing, whichever was missed.
2-3/6 Developing Reteach with manipulatives (fraction tiles, fraction bars). Focus on visual models first.
0-1/6 Needs Intervention Small group instruction starting with concrete models. Review the concept of multiplying/dividing by 1.
FAST Success Kit | Grade 4 | FL B.E.S.T. Standards: MA.4.FR.1.1, MA.4.FR.1.2, MA.4.FR.1.3 | Answer Key - Teacher Use Only