This Grade 4 mixed numbers and improper fractions sheet pushes learners into multi-step comparisons: who ate more pizza, Mia at 2 1/2 or Jake at 11/4? Four multiple-choice items target real comparisons including ties at 17/6 = 2 5/6 and 13/5 = 2 3/5, while five fill-ins build the supporting conversions. Hints surface common-denominator strategies and why-notes summarize how Grade 4 students can verify their reasoning by converting both quantities into one matching form.
Style:
Mixed Numbers and Improper Fractions
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
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
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
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
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.
2. 11/4 pizzas equals 2 3 /4 pizzas as a mixed number.
3. To compare 9/4 and 2 1/3 fairly, use a common denominator of 12.
4. 2 5/6 written as an improper fraction is 17 /6.
5. If 2 3/5 = 13/5 and 13/5 = 2 3/5, the runners finished 13/5 laps each.
Mixed Numbers and Improper Fractions
★ 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
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
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
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
★ 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.
2) 11/4 pizzas equals 2 3 /4 pizzas as a mixed number.
3) To compare 9/4 and 2 1/3 fairly, use a common denominator of 12.
4) 2 5/6 written as an improper fraction is 17 /6.
5) If 2 3/5 = 13/5 and 13/5 = 2 3/5, the runners finished 13/5 laps each.
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