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:
5/8 written as a mixed number is 1 5/8.
Corrected: 5/8 is a proper fraction and equals 0 5/8 (just 5/8).
Grade 4: 5 < 8, so 5/8 is proper, not a mixed number.
2. Fix the sentence:
13/8 equals 2 3/8 as a mixed number.
Corrected: 13/8 equals 1 5/8 as a mixed number.
Grade 4: 13 ÷ 8 = 1 R 5, giving 1 5/8.
3. Fix the sentence:
17/10 written as a mixed number equals 2 7/10.
Corrected: 17/10 written as a mixed number equals 1 7/10.
Grade 4: 17 ÷ 10 = 1 R 7, so 17/10 = 1 7/10.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. Convert 11/8 to a mixed number: 1 3 /8.
Grade 4: 11 - 8 = 3, so 11/8 = 1 3/8.
2. Convert 19/10 to a mixed number: 1 9 /10.
Grade 4: 19 - 10 = 9, so 19/10 = 1 9/10.
3. The mixed number 2 1/8 equals the improper fraction 17 /8.
Grade 4: 2×8 + 1 = 17, so 2 1/8 = 17/8.
4. The mixed number 3 3/10 equals the improper fraction 33 /10.
Grade 4: 3×10 + 3 = 33, so 3 3/10 = 33/10.
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Show a Grade 4 step for converting 13/8 into a mixed number, naming each part.
Sample answer: Divide 13 by 8 to get 1 remainder 5, so 13/8 = 1 5/8 — one whole and five eighths.
Grade 4: division shows full wholes and leftover eighths.
2. Why is 5/8 NOT a mixed number, while 13/8 IS one, in Grade 4 terms?
Sample answer: 5/8 is proper because 5 < 8, so it's less than 1; 13/8 is improper, so it can be written as 1 5/8.
Grade 4: only fractions ≥ 1 form mixed numbers.