Converting Mixed Numbers to Improper Fractions - Worksheet Digital - Free Printable

Let's solve each problem step by step.

🔁 How to Convert a Mixed Number to an Improper Fraction:

A mixed number is made up of a whole number and a fraction (e.g., $ 2\frac{2}{3} $).

To convert it to an improper fraction, follow these steps:

1. Multiply the whole number by the denominator.
2. Add the numerator to that product.
3. The result becomes the new numerator.
4. Keep the same denominator.

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Now, let’s apply this method to each problem:

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1) $ 2\frac{2}{3} $

- Whole number: 2
- Denominator: 3
- Numerator: 2

$$
(2 \times 3) + 2 = 6 + 2 = 8
$$

So, $ 2\frac{2}{3} = \frac{8}{3} $

✔ Answer: $ \frac{8}{3} $

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2) $ 2\frac{1}{4} $

- $ (2 \times 4) + 1 = 8 + 1 = 9 $
- $ \frac{9}{4} $

✔ Answer: $ \frac{9}{4} $

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3) $ 3\frac{2}{5} $

- $ (3 \times 5) + 2 = 15 + 2 = 17 $
- $ \frac{17}{5} $

✔ Answer: $ \frac{17}{5} $

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4) $ 4\frac{1}{3} $

- $ (4 \times 3) + 1 = 12 + 1 = 13 $
- $ \frac{13}{3} $

✔ Answer: $ \frac{13}{3} $

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5) $ 5\frac{2}{3} $

- $ (5 \times 3) + 2 = 15 + 2 = 17 $
- $ \frac{17}{3} $

✔ Answer: $ \frac{17}{3} $

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6) $ 1\frac{1}{5} $

- $ (1 \times 5) + 1 = 5 + 1 = 6 $
- $ \frac{6}{5} $

✔ Answer: $ \frac{6}{5} $

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7) $ 4\frac{3}{5} $

- $ (4 \times 5) + 3 = 20 + 3 = 23 $
- $ \frac{23}{5} $

✔ Answer: $ \frac{23}{5} $

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8) $ 5\frac{2}{3} $

- $ (5 \times 3) + 2 = 15 + 2 = 17 $
- $ \frac{17}{3} $

✔ Answer: $ \frac{17}{3} $

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9) $ 2\frac{5}{7} $

- $ (2 \times 7) + 5 = 14 + 5 = 19 $
- $ \frac{19}{7} $

✔ Answer: $ \frac{19}{7} $

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10) $ 3\frac{3}{5} $

- $ (3 \times 5) + 3 = 15 + 3 = 18 $
- $ \frac{18}{5} $

✔ Answer: $ \frac{18}{5} $

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✔ Final Answers:

1) $ \frac{8}{3} $
2) $ \frac{9}{4} $
3) $ \frac{17}{5} $
4) $ \frac{13}{3} $
5) $ \frac{17}{3} $
6) $ \frac{6}{5} $
7) $ \frac{23}{5} $
8) $ \frac{17}{3} $
9) $ \frac{19}{7} $
10) $ \frac{18}{5} $

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