Equivalent Fractions & Comparing — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which fraction is NOT equivalent to 23?
A) 46
B) 812
C) 610
D) 1015
610 simplifies to 35, not 23. The other choices all reduce to 23, but 610 does not.
2. Order from least to greatest: 23, 58, 34.
A) 23, 34, 58
B) 58, 23, 34
C) 34, 23, 58
D) 58, 34, 23
Using LCD 24: 23 = 1624, 58 = 1524, 34 = 1824. Ordering gives 15, 16, 18 — so 58, 23, 34.
3. Sara drank 512 of a bottle and Tom drank 38. Who drank more?
A) Sara, because 12 > 8
B) Tom, because 38 = 924 and 512 = 1024, so Sara drank more
C) Sara, because 1024 > 924
D) They drank the same
Convert to LCD 24: 512 = 1024 and 38 = 924. Since 1024 > 924, Sara drank more.
4. What is 2432 in simplest form?
A) 68
B) 1216
C) 34
D) 46
The GCF of 24 and 32 is 8. Divide both: 24 ÷ 8 = 3 and 32 ÷ 8 = 4, so 2432 = 34.
Part B: Fill in the Blank
Write the correct answer on each line.
1. The GCF of 16 and 24 is 8.
The factors of 16 include 1, 2, 4, 8, 16 and the factors of 24 include 1, 2, 3, 4, 6, 8, 12, 24. The largest they share is 8.
2. The mixed number 358 as an improper fraction is 298.
Multiply the whole number by the denominator and add the numerator: 3 × 8 + 5 = 29, so 358 = 298.
3. Put >, <, or = : 59 < 47.
Convert to LCD 63: 59 = 3563 and 47 = 3663. Since 35 < 36, 59 < 47.
4. The LCD of 6 and 10 is 30.
List multiples of 10 (10, 20, 30...) and 6 (6, 12, 18, 24, 30...). The smallest they share is 30.
5. The improper fraction 196 as a mixed number is 316.
Divide 19 by 6: 6 goes into 19 three times (18) with remainder 1, so 196 = 316.