Mixed Numbers and Improper Fractions — Answer Key
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.
Corrected: 7/4 sits between 1 and 2 on the number line, at 1 3/4.
Grade 4: 7/4 = 1 whole + 3/4, so it lands between 1 and 2.
2. Fix the sentence:
The improper fraction 9/4 equals 2 1/2.
Corrected: The improper fraction 9/4 equals 2 1/4.
Grade 4: 9 ÷ 4 = 2 R 1, giving the mixed number 2 1/4.
3. Fix the sentence:
On a number line marked in fourths, 5/4 lands at 2.
Corrected: On a number line marked in fourths, 5/4 lands at 1 1/4.
Grade 4: 5/4 = 4/4 + 1/4 = 1 1/4, just past 1.
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.
Grade 4: 7/4 = 1 + 3/4, so the missing numerator is 3.
2. The improper fraction 11/4 equals the mixed number 2 3 /4.
Grade 4: 11 ÷ 4 = 2 remainder 3, giving 2 3/4.
3. On a number line in fourths, 9/4 sits between 2 and 3.
Grade 4: 2 1/4 falls between the whole numbers 2 and 3.
4. 13/4 written as a mixed number is 3 1/4.
Grade 4: 13 ÷ 4 = 3 R 1, so 13/4 = 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?
Sample answer: It lands between 1 and 2, exactly at 1 3/4 because 7/4 equals one whole plus three fourths.
Grade 4: 4/4 makes 1 whole, leaving 3/4 past it.
2. How would you explain to a Grade 4 friend that 9/4 and 2 1/4 are the same point?
Sample answer: Both equal 9 fourths: 2 wholes use 8 fourths, plus 1 more fourth makes 9/4 or 2 1/4.
Grade 4: equivalent forms name one shared point on the line.