Mixed Numbers and Improper Fractions — Answer Key
Part A: Multiple Choice
Circle the best answer for each question.
1. Mia ate 2 1/2 pizzas and Jake ate 11/4 pizzas. Who ate more?
A) Mia, since 2 1/2 = 10/4 < 11/4
B) Jake, since 11/4 = 2 3/4 > 2 1/2
C) They ate equal amounts
D) Cannot tell from the data
Grade 4: 2 1/2 = 10/4 and 11/4 = 2 3/4, so Jake ate more.
2. Which fraction is greater: 17/6 or 2 5/6?
A) 17/6, because 17/6 = 2 5/6 they are equal
B) 2 5/6, because it is the only mixed number
C) They are equal — both equal 17/6
D) 17/6 is greater than 2 5/6
Grade 4: 2 5/6 = 17/6, so they are equal.
3. A jar holds 9/4 cups; a bottle holds 2 1/3 cups. Which is larger?
A) The jar, since 9/4 > 2 1/3
B) The bottle, since 2 1/3 = 28/12 > 27/12 = 9/4
C) They are equal
D) Cannot decide without measuring
Grade 4: 9/4 = 27/12 and 2 1/3 = 28/12, so the bottle wins.
4. Runner A finished 13/5 laps; Runner B finished 2 3/5 laps. What is true?
A) A finished more laps than B
B) B finished more laps than A
C) They tied — both equal 13/5
D) Not enough information
Grade 4: 2 3/5 = 13/5, so the runners tied exactly.
Part B: Fill in the Blank
Write the correct answer on each line.
1. 2 1/2 pizzas equals 10 /4 pizzas, which is less than 11/4.
Grade 4: 2 1/2 = 10/4, and 10 < 11.
2. 11/4 pizzas equals 2 3 /4 pizzas as a mixed number.
Grade 4: 11 ÷ 4 = 2 R 3, so 11/4 = 2 3/4.
3. To compare 9/4 and 2 1/3 fairly, use a common denominator of 12.
Grade 4: LCM(4, 3) = 12 lets us compare with same units.
4. 2 5/6 written as an improper fraction is 17 /6.
Grade 4: 2×6 + 5 = 17, so 2 5/6 = 17/6.
5. If 2 3/5 = 13/5 and 13/5 = 2 3/5, the runners finished 13/5 laps each.
Grade 4: equivalent forms describe one shared amount.