Mixed Numbers and Improper Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Convert 19/4 to a mixed number: 19 ÷ 4 = 4 remainder 3, so 19/4 = 4 3/4.
Because 19 = 4 × 4 + 3, the mixed form is 4 3/4.
2. Convert 7 1/2 to an improper fraction: 15/2.
7 multiplied by 2 is 14, plus 1 equals 15, so 7 1/2 = 15/2.
3. Convert 23/6 to a mixed number: 23 ÷ 6 = 3 remainder 5, so 23/6 = 3 5/6.
Since 23 = 3 × 6 + 5, we have 23/6 = 3 5/6.
4. Convert 8 3/4 to an improper fraction: 35/4.
8 times 4 is 32, plus 3 equals 35, so 8 3/4 = 35/4.
5. On a number line, 13/3 lies between whole numbers 4 and 5.
Because 13/3 = 4 1/3, it sits just past 4 and before 5.
6. If 1 whole = 9/9, then 3 wholes = 27/9.
Three wholes have 27 ninths, so 3 = 27/9.
7. Convert 29/8 to a mixed number: 3 5/8.
Since 29 = 3 × 8 + 5, the mixed number is 3 5/8.
8. Convert 6 1/5 to an improper fraction: 31/5.
6 times 5 is 30, plus 1 equals 31, so 6 1/5 = 31/5.
9. The point at 11/3 on a number line is the same as 3 2/3.
Because 11 = 3 × 3 + 2, we get 11/3 = 3 2/3.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Mixed form of 11/3
→ 3 2/3
3 2/3
Improper form of 4 2/3
→ 14/3
14/3
Mixed form of 16/5
→ 3 1/5
3 1/5
Improper form of 2 wholes in halves
→ 4/2
4/2
Each Grade 4 pair follows the 4.NF.3b conversion or whole-number-as-improper-fraction rule.