Mixed Numbers and Improper Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Convert 3 1/4 to an improper fraction: 3 × 4 + 1 = 13/4.
3 times 4 is 12, plus 1 equals 13, so 3 1/4 = 13/4.
2. Convert 5 2/3 to an improper fraction: it equals 17/3.
5 multiplied by 3 is 15, plus 2 equals 17, so 5 2/3 = 17/3.
3. Convert 17/5 to a mixed number: 17 ÷ 5 = 3 remainder 2, so 17/5 = 3 2/5.
Since 17 = 3 × 5 + 2, the mixed number is 3 2/5.
4. Convert 22/6 to a mixed number: 22 ÷ 6 = 3 remainder 4, so 22/6 = 3 4/6.
22 = 3 × 6 + 4, so 22/6 = 3 4/6.
5. On a number line, 11/4 lies exactly 3 fourths past the whole number 2.
Because 11/4 = 2 3/4, the point is three fourths past 2.
6. The improper fraction 25/8 equals 3 1/8 as a mixed number.
Since 25 = 3 × 8 + 1, the mixed number is 3 1/8.
7. The mixed number 6 5/6 written as an improper fraction is 41/6.
6 times 6 is 36, plus 5 equals 41, so 6 5/6 = 41/6.
8. If 1 whole equals 7/7, then 2 wholes equals 14/7.
Each whole has 7 sevenths, so 2 wholes have 14 sevenths, written 14/7.
9. Write 4 1/3 as an improper fraction: 13/3.
4 multiplied by 3 is 12, plus 1 equals 13, so 4 1/3 = 13/3.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
2 1/2 as an improper fraction
→ 5/2
5/2
9/2 as a mixed number
→ 4 1/2
4 1/2
3 2/5 as an improper fraction
→ 17/5
17/5
Improper form of 1 whole using fifths
→ 5/5
5/5
Each Grade 4 mixed/improper pair matches by 4.NF.3b conversion rules and the b/b = 1 whole idea.