Comparing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 3, which fraction is less than 1/2?
A) 2/5
B) 3/5
C) 4/6
D) 5/8
2/5 is less than 2.5/5, so 2/5 < 1/2; the other choices are all greater than or equal to 1/2.
2. In Grade 3, Ana ran 2/4 mile and Ben ran 1/2 mile. Who ran farther?
A) They ran the same distance
B) Ana
C) Ben
D) Cannot tell
2/4 simplifies to 1/2, so Ana and Ben ran the same distance.
3. In Grade 3, which list is ordered from least to greatest?
A) 1/6, 1/3, 1/2
B) 1/2, 1/3, 1/6
C) 1/3, 1/6, 1/2
D) 1/2, 1/6, 1/3
1/6 < 1/3 < 1/2 because sixths are the smallest pieces and halves are the largest.
4. In Grade 3, which fraction equals 1 whole?
A) 6/6
B) 5/6
C) 1/6
D) 0/6
6/6 shades all six pieces, which equals 1 whole; the others are less than 1.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 3, between 3/8 and 3/4, the greater fraction is 3/4 because fourths are bigger pieces than eighths.
Three bigger fourths cover more than three smaller eighths, so 3/4 > 3/8.
2. In Grade 3, compare 7/10 to 1/2 using the benchmark 5/10. 7/10 > 1/2.
7/10 has more tenths than 5/10, and 5/10 = 1/2, so 7/10 > 1/2.
3. In Grade 3, 6/12 equals the benchmark 1/2 because 6 is half of 12.
6/12 simplifies to 1/2 since both 6 and 12 share a factor of 6.
4. In Grade 3, a fraction that is between 0 and 1/2 is 1/4.
1/4 is less than 2/4 (which equals 1/2) and greater than 0, so it fits between them.
5. In Grade 3, if Zoe reads 3/5 of a book and Eli reads 3/10, Zoe read more of the book than Eli.
Three fifths cover more of the book than three tenths because fifths are bigger pieces.