Mixed numbers & improper fractions

Convert between mixed numbers and improper (top-heavy) fractions

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1
Which of these is an improper fraction? A) 3/4 B) 7/3 C) 1/2 D) 2/5
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2
Convert 7/3 to a mixed number. 7/3 = ___
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3
Is this statement true or false? 5/2 is greater than 2. A) True B) False
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4
Convert 1 1/2 to an improper fraction. A) 2/2 B) 3/2 C) 1/2 D) 4/2
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5
Convert 2 3/4 to an improper fraction. 2 3/4 = ___
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6
Match each improper fraction to its mixed number. Match each item on the left to one on the right. Left: 9/4, 11/3, 13/5, 7/2 Right: 2 1/4, 3 2/3, 2 3/5, 3 1/2
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7
Order these from smallest to largest: 5/2, 1 1/4, 9/4, 1 3/4. Put these in order: 5/2, 1 1/4, 9/4, 1 3/4
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8
Convert 23/5 to a mixed number. 23/5 = ___
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9
Convert 5 2/3 to an improper fraction. A) 10/3 B) 15/3 C) 17/3 D) 22/3
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10
Is this statement true or false? 19/4 is the same as 4 3/4. A) True B) False
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Answer key

Mixed numbers & improper fractions · for parents and teachers

1
7/3
7/3 is improper because the numerator (7) is greater than the denominator (3).
2
2 1/3
7 ÷ 3 = 2 remainder 1, so 7/3 = 2 1/3.
3
True
5/2 = 2 1/2 = 2.5, which is greater than 2.
4
3/2
1 1/2 = 2/2 + 1/2 = 3/2.
5
11/4
2 × 4 = 8, and 8 + 3 = 11. So 2 3/4 = 11/4.
6
9/4 → 2 1/4; 11/3 → 3 2/3; 13/5 → 2 3/5; 7/2 → 3 1/2
9÷4 = 2 r1 → 2 1/4. 11÷3 = 3 r2 → 3 2/3. 13÷5 = 2 r3 → 2 3/5. 7÷2 = 3 r1 → 3 1/2.
7
1 1/4, 1 3/4, 9/4, 5/2
1 1/4 = 1.25, 1 3/4 = 1.75, 9/4 = 2.25, 5/2 = 2.5. Smallest to largest: 1 1/4, 1 3/4, 9/4, 5/2.
8
4 3/5
23 ÷ 5 = 4 remainder 3, so 23/5 = 4 3/5.
9
17/3
5 × 3 = 15, and 15 + 2 = 17. So 5 2/3 = 17/3.
10
True
19 ÷ 4 = 4 remainder 3, so 19/4 = 4 3/4. The statement is true.