Comparing Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. In Grade 3, Maya ate 3/4 of her pizza and Jake ate 2/3 of his pizza. Which is greater?
A) 3/4 is greater
B) 2/3 is greater
C) They are equal
D) Cannot be compared
Using twelfths, 9/12 > 8/12, so Maya's 3/4 is greater than Jake's 2/3.
2. In Grade 3, which fraction is greater than 1/2 but less than 1?
A) 5/8
B) 1/8
C) 2/8
D) 0/8
5/8 is more than 4/8 (1/2) but less than 8/8 (1); the others are at or below 1/2.
3. In Grade 3, on a number line from 0 to 1, which fraction sits closest to 0?
A) 1/10
B) 1/2
C) 3/4
D) 9/10
1/10 is just one tenth above 0, while 1/2, 3/4, and 9/10 are farther along the number line.
4. In Grade 3, which symbol makes this true: 4/6 ___ 2/3?
A) =
B) <
C) >
D) None
4/6 simplifies to 2/3, so the fractions are equivalent and the symbol is =.
Part B: Fill in the Blank
Write the correct answer on each line.
1. In Grade 3, Lily shaded 5/6 and Sam shaded 4/6 of equal bars. The greater amount is 5/6.
5 sixths is one more sixth than 4 sixths, so 5/6 > 4/6.
2. In Grade 3, on a number line, between 1/3 and 1/6, the fraction farther from 0 is 1/3.
Thirds are bigger pieces than sixths, so 1/3 sits farther from 0 than 1/6.
3. In Grade 3, a fraction that is greater than 1/2 AND less than 3/4 is 5/8.
5/8 is more than 4/8 (1/2) and less than 6/8 (3/4), so it fits between them.
4. In Grade 3, if 3/4 of a garden is planted and 3/8 is watered, the bigger part is 3/4.
Three fourths are bigger pieces than three eighths, so 3/4 > 3/8.
5. In Grade 3, an equivalent fraction for 1/2 with denominator 10 is 5/10.
1/2 equals 5/10 because 1 x 5 = 5 and 2 x 5 = 10.