This Grade 4 mixed numbers and improper fractions sheet anchors learners to a number line marked in fourths, where 7/4 sits at 1 3/4 between the whole numbers 1 and 2. Students fix sentence-correction errors, fill in missing numerators and whole-number positions, and answer two short-response prompts that explain placement reasoning. Hints and why-notes reinforce dividing the numerator by the denominator to find the whole and remainder for every Grade 4 conversion practiced here.
Style:
Mixed Numbers and Improper Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
7/4 sits between 2 and 3 on the number line.
Rewrite: 7/4 sits between 1 and 2 on the number line, at 1 3/4.
2. Fix the sentence:
The improper fraction 9/4 equals 2 1/2.
Rewrite: The improper fraction 9/4 equals 2 1/4.
3. Fix the sentence:
On a number line marked in fourths, 5/4 lands at 2.
Rewrite: On a number line marked in fourths, 5/4 lands at 1 1/4.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Between 1 and 2 on a fourths number line, 7/4 lands at 1 3 /4.
2. The improper fraction 11/4 equals the mixed number 2 3 /4.
3. On a number line in fourths, 9/4 sits between 2 and 3.
4. 13/4 written as a mixed number is 3 1/4.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Where does 7/4 land on a Grade 4 number line marked in fourths between 0 and 3?
It lands between 1 and 2, exactly at 1 3/4 because 7/4 equals one whole plus three fourths.
2. How would you explain to a Grade 4 friend that 9/4 and 2 1/4 are the same point?
Both equal 9 fourths: 2 wholes use 8 fourths, plus 1 more fourth makes 9/4 or 2 1/4.
Mixed Numbers and Improper Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
7/4 sits between 2 and 3 on the number line.
Rewrite: 7/4 sits between 1 and 2 on the number line, at 1 3/4.
2) Fix the sentence:
The improper fraction 9/4 equals 2 1/2.
Rewrite: The improper fraction 9/4 equals 2 1/4.
3) Fix the sentence:
On a number line marked in fourths, 5/4 lands at 2.
Rewrite: On a number line marked in fourths, 5/4 lands at 1 1/4.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) Between 1 and 2 on a fourths number line, 7/4 lands at 1 3 /4.
2) The improper fraction 11/4 equals the mixed number 2 3 /4.
3) On a number line in fourths, 9/4 sits between 2 and 3.
4) 13/4 written as a mixed number is 3 1/4.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Where does 7/4 land on a Grade 4 number line marked in fourths between 0 and 3?
It lands between 1 and 2, exactly at 1 3/4 because 7/4 equals one whole plus three fourths.
2) How would you explain to a Grade 4 friend that 9/4 and 2 1/4 are the same point?
Both equal 9 fourths: 2 wholes use 8 fourths, plus 1 more fourth makes 9/4 or 2 1/4.
Ready to Practice?
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9 Questions
15-20 minutes
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