Equivalent Fractions & Comparing — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Which mixed number equals 235?
A) 415
B) 435
C) 534
D) 345
Divide 23 by 5: 5 goes into 23 four times (20) with remainder 3, so 235 = 435.
2. Which is greater: 710 or 57?
A) 710 because 4970 < 5070
B) 57 because 5070 > 4970
C) 710 because 10 > 7
D) They are equal
Convert to LCD 70: 710 = 4970 and 57 = 5070. Since 50 > 49, 57 is greater than 710.
3. A rope is 325 meters long. As an improper fraction, how many fifths is that?
A) 135
B) 175
C) 155
D) 115
Multiply the whole number by the denominator and add the numerator: 3 × 5 + 2 = 17, so 325 = 175.
4. Order from greatest to least: 45, 79, 1115.
A) 45, 79, 1115
B) 79, 45, 1115
C) 1115, 79, 45
D) 45, 1115, 79
Using LCD 45: 45 = 3645, 79 = 3545, 1115 = 3345. From greatest to least: 36, 35, 33.
Part B: Fill in the Blank
Write the correct answer on each line.
1. The GCF of 18 and 27 is 9.
The factors of 18 include 1, 2, 3, 6, 9, 18 and the factors of 27 include 1, 3, 9, 27. The largest they share is 9.
2. 3042 in simplest form is 57.
The GCF of 30 and 42 is 6. Divide both: 30 ÷ 6 = 5 and 42 ÷ 6 = 7, so 3042 = 57.
3. The improper fraction 258 as a mixed number is 318.
Divide 25 by 8: 8 goes into 25 three times (24) with remainder 1, so 258 = 318.
4. Put >, <, or = : 34 < 79.
Convert to LCD 36: 34 = 2736 and 79 = 2836. Since 27 < 28, 34 < 79.
5. The LCD of 7 and 4 is 28.
Since 7 and 4 share no common factors, their LCD is simply 7 × 4 = 28.