Improper Fractions to Mixed Numbers Worksheet (examples, answers ... - Free Printable

Let's solve each improper fraction by converting it to a mixed number.

To convert an improper fraction to a mixed number, follow these steps:

1. Divide the numerator by the denominator.
2. The quotient becomes the whole number part.
3. The remainder becomes the numerator of the fractional part.
4. The denominator stays the same.

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Let’s go through each one:

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Left Column:

1. 27/10
27 ÷ 10 = 2 remainder 7 → 2 7/10

2. 43/10
43 ÷ 10 = 4 remainder 3 → 4 3/10

3. 17/4
17 ÷ 4 = 4 remainder 1 → 4 1/4

4. 35/6
35 ÷ 6 = 5 remainder 5 → 5 5/6

5. 47/7
47 ÷ 7 = 6 remainder 5 → 6 5/7

6. 19/4
19 ÷ 4 = 4 remainder 3 → 4 3/4

7. 53/9
53 ÷ 9 = 5 remainder 8 → 5 8/9

8. 33/6
33 ÷ 6 = 5 remainder 3 → 5 3/6 → Simplify: 3/6 = 1/2 → 5 1/2

9. 21/6
21 ÷ 6 = 3 remainder 3 → 3 3/6 → Simplify: 3/6 = 1/2 → 3 1/2

10. 38/10
38 ÷ 10 = 3 remainder 8 → 3 8/10 → Simplify: 8/10 = 4/5 → 3 4/5

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Right Column:

1. 18/4
18 ÷ 4 = 4 remainder 2 → 4 2/4 → Simplify: 2/4 = 1/2 → 4 1/2

2. 5/2
5 ÷ 2 = 2 remainder 1 → 2 1/2

3. 23/3
23 ÷ 3 = 7 remainder 2 → 7 2/3

4. 18/8
18 ÷ 8 = 2 remainder 2 → 2 2/8 → Simplify: 2/8 = 1/4 → 2 1/4

5. 15/6
15 ÷ 6 = 2 remainder 3 → 2 3/6 → Simplify: 3/6 = 1/2 → 2 1/2

6. 27/8
27 ÷ 8 = 3 remainder 3 → 3 3/8

7. 22/4
22 ÷ 4 = 5 remainder 2 → 5 2/4 → Simplify: 2/4 = 1/2 → 5 1/2

8. 24/9
24 ÷ 9 = 2 remainder 6 → 2 6/9 → Simplify: 6/9 = 2/3 → 2 2/3

9. 11/2
11 ÷ 2 = 5 remainder 1 → 5 1/2

10. 23/5
23 ÷ 5 = 4 remainder 3 → 4 3/5

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Final Answers:

#### Left Column:
1. $ \frac{27}{10} = 2\frac{7}{10} $
2. $ \frac{43}{10} = 4\frac{3}{10} $
3. $ \frac{17}{4} = 4\frac{1}{4} $
4. $ \frac{35}{6} = 5\frac{5}{6} $
5. $ \frac{47}{7} = 6\frac{5}{7} $
6. $ \frac{19}{4} = 4\frac{3}{4} $
7. $ \frac{53}{9} = 5\frac{8}{9} $
8. $ \frac{33}{6} = 5\frac{1}{2} $
9. $ \frac{21}{6} = 3\frac{1}{2} $
10. $ \frac{38}{10} = 3\frac{4}{5} $

#### Right Column:
1. $ \frac{18}{4} = 4\frac{1}{2} $
2. $ \frac{5}{2} = 2\frac{1}{2} $
3. $ \frac{23}{3} = 7\frac{2}{3} $
4. $ \frac{18}{8} = 2\frac{1}{4} $
5. $ \frac{15}{6} = 2\frac{1}{2} $
6. $ \frac{27}{8} = 3\frac{3}{8} $
7. $ \frac{22}{4} = 5\frac{1}{2} $
8. $ \frac{24}{9} = 2\frac{2}{3} $
9. $ \frac{11}{2} = 5\frac{1}{2} $
10. $ \frac{23}{5} = 4\frac{3}{5} $

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✔ All fractions are now converted to mixed numbers, and simplified where needed.

Let me know if you'd like this in a printable format or with step-by-step work for any specific problem!