Grade 4 learners study equivalence chains in this mixed numbers and improper fractions sheet, recognizing that 5/2 = 10/4 = 15/6 = 20/8 all name the same value. Four multiple-choice items and five fill-ins ask students to convert improper fractions to simplest mixed-number form, including 18/12 = 1 1/2 and 8/6 = 1 1/3. Why-notes emphasize the Grade 4 expectation of simplest form and the inverse relationship between multiplication and division for equivalent fractions.
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Mixed Numbers and Improper Fractions
Part A: Multiple Choice
Circle the best answer for each question.
1. Which list shows fractions that are all equal to 5/2?
A) 10/4, 15/6, 20/8
B) 10/4, 15/4, 20/4
C) 5/4, 5/6, 5/8
D) 10/2, 15/2, 20/2
2. Which is 5/2 written in simplest mixed-number form?
A) 1 3/2
B) 2 1/2
C) 2 2/4
D) 1 5/4
3. Which improper fraction equals 3 2/4 in simplest form?
A) 14/4
B) 12/4
C) 7/2
D) 10/4
4. Write 18/12 as a mixed number in simplest form.
A) 1 6/12
B) 1 1/2
C) 2 1/2
D) 1 3/4
Part B: Fill in the Blank
Write the correct answer on each line.
1. 5/2 = 10/4 = 15 /6 (next equivalent fraction in the chain).
2. Write 7/2 as a mixed number in simplest form: 3 1/2.
3. Simplify 8/6 first to 4/3, then write as a mixed number: 1 1 /3.
4. 20/8 in simplest mixed form is 2 1 /2.
5. Express 15/6 in simplest mixed form: 2 1/2.
Mixed Numbers and Improper Fractions
★ Part A: Multiple Choice
Circle the best answer for each question.
1. Which list shows fractions that are all equal to 5/2?
A) 10/4, 15/6, 20/8
B) 10/4, 15/4, 20/4
C) 5/4, 5/6, 5/8
D) 10/2, 15/2, 20/2
2. Which is 5/2 written in simplest mixed-number form?
A) 1 3/2
B) 2 1/2
C) 2 2/4
D) 1 5/4
3. Which improper fraction equals 3 2/4 in simplest form?
A) 14/4
B) 12/4
C) 7/2
D) 10/4
4. Write 18/12 as a mixed number in simplest form.
A) 1 6/12
B) 1 1/2
C) 2 1/2
D) 1 3/4
★ Part B: Fill in the Blank
Write the correct answer on each line.
1) 5/2 = 10/4 = 15 /6 (next equivalent fraction in the chain).
2) Write 7/2 as a mixed number in simplest form: 3 1/2.
3) Simplify 8/6 first to 4/3, then write as a mixed number: 1 1 /3.
4) 20/8 in simplest mixed form is 2 1 /2.
5) Express 15/6 in simplest mixed form: 2 1/2.
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