Equivalent Fractions & Comparing — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which fraction is greater: 34 or 23?
A) 23 because 3 > 4
B) 34 because 912 > 812
C) They are equal
D) 23 because 2 × 3 > 3 × 4
LCD=12: 34=912, 23=812. Since 9>8, 34>23.
2. What is 1824 in simplest form?
A) 912
B) 68
C) 34
D) 23
GCF(18,24)=6. 18÷6=3, 24÷6=4. Simplest form: 34.
3. Which mixed number equals 73?
A) 213
B) 317
C) 143
D) 217
7 ÷ 3 = 2 remainder 1. Answer: 213.
4. Order from least to greatest: 56, 34, 78.
A) 56, 34, 78
B) 34, 78, 56
C) 34, 56, 78
D) 78, 56, 34
LCD=24: 34=1824, 56=2024, 78=2124. Order: 18<20<21.
Part B: Fill in the Blank
Write the correct answer on each line.
1. The GCF of 12 and 18 is 6.
Factors of 12: 1,2,3,4,6,12. Factors of 18: 1,2,3,6,9,18. GCF=6.
2. 2032 in simplest form is 58.
GCF(20,32)=4. 20÷4=5, 32÷4=8. Answer: 58.
3. The mixed number 423 as an improper fraction is 143.
4 × 3 + 2 = 14. Answer: 143.
4. The LCD of 5 and 8 is 40.
LCM(5,8) = 40.
5. Put >, <, or = : 712 < 23.
23=812. Since 712 < 812, 712 < 23.