Equivalent Fractions & Comparing — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. To compare 34 and 56, rewrite with LCD 12: 34 = 9 12 .
34 × 33 = 912.
2. 56 = 10 12 .
56 × 22 = 1012.
3. Since 912 < 1012, the fraction 34 is less than 56.
912 < 1012, so 34 < 56.
4. The improper fraction 114 written as a mixed number is 234.
11 ÷ 4 = 2 remainder 3. Answer: 234.
5. The mixed number 325 written as an improper fraction is 175.
3 × 5 + 2 = 17. Answer: 175.
6. The LCD of 3 and 8 is 24.
LCM(3,8) = 24.
7. 23 compared to 59: 23 = 69, so 23 is greater than 59.
69 > 59, so 23 > 59.
8. The improper fraction 92 as a mixed number is 412.
9 ÷ 2 = 4 remainder 1. Answer: 412.
9. The mixed number 158 as an improper fraction is 138.
1 × 8 + 5 = 13. Answer: 138.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
315
→ 165
74
278
→ 238
143
134
→ 74
238
423
→ 143
165
315=165; 278=238; 134=74; 423=143.