Mixed Numbers and Improper Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 3 1/4 hours equals 13 quarter-hour intervals (fourths).
Grade 4: 3 1/4 = 13/4, so 13 quarter-hours.
2. A ribbon is 11/3 yards long. As a mixed number, it is 3 2 /3 yards.
Grade 4: 11 ÷ 3 = 3 R 2, so 3 2/3 yards.
3. Lin baked 17/8 trays of cookies. That is 2 1 /8 trays.
Grade 4: 17 - 16 = 1, so 17/8 = 2 1/8.
4. Sam jogged 2 3/5 miles. That is 13 /5 miles total.
Grade 4: 2×5 + 3 = 13, so 2 3/5 = 13/5.
5. A jug holds 9/2 cups. As a mixed number, it holds 4 1 /2 cups.
Grade 4: 9 - 8 = 1, so 9/2 = 4 1/2.
6. Maya read for 22/6 hours. That is 3 4 /6 hours.
Grade 4: 22 - 18 = 4, so 22/6 = 3 4/6.
7. A bag of flour weighs 3 5/8 pounds. That is 29 /8 pounds.
Grade 4: 3×8 + 5 = 29, so 3 5/8 = 29/8.
8. A path is 27/10 km long. As a mixed number, it is 2 7 /10 km.
Grade 4: 27 - 20 = 7, so 27/10 = 2 7/10.
9. Ben drank 4 2/3 cups. That is 14 /3 cups in total.
Grade 4: 4×3 + 2 = 14, so 4 2/3 = 14/3.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
3 1/4 hours
→ 13/4
13/4
2 3/5 miles
→ 13/5
13/5
4 1/2 cups
→ 9/2
9/2
3 5/8 pounds
→ 29/8
29/8
Grade 4: convert each mixed measurement to improper form.