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The task is asking you to convert the decimal \(4.6\) into two forms:

1. **Mixed number**
2. **Improper fraction**

Let's go step by step:

### 1. **Mixed Number:**

To convert \(4.6\) to a mixed number:
- The whole number part is **4**.
- The decimal part, \(0.6\), is the fraction part. Convert \(0.6\) into a fraction: \(0.6 = \frac{6}{10} = \frac{3}{5}\) (simplified).

Thus, \(4.6\) as a mixed number is:
\[
4 \frac{3}{5}
\]

### 2. **Improper Fraction:**

To convert the mixed number to an improper fraction:
- Multiply the whole number (4) by the denominator (5): \(4 \times 5 = 20\).
- Add the numerator (3): \(20 + 3 = 23\).
- The denominator remains 5.

So, \(4.6\) as an improper fraction is:
\[
\frac{23}{5}
\]

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Do you need further details on this? 

Here are 5 related questions you might find useful:
1. How do you convert any decimal into a mixed number?
2. What are some real-world applications of mixed numbers and improper fractions?
3. How do you simplify fractions from improper to mixed form?
4. Can you always convert between improper fractions and mixed numbers?
5. What are the differences between terminating and repeating decimals?

**Tip**: Always try to simplify fractions unless otherwise stated, as in this case where the task specifies not to simplify further.

Write 4.6 as a mixed number and as an improper fraction. Do not try to simplify your answers.

Learn how to convert the decimal 4.6 into both a mixed number and an improper fraction. This involves decimal-to-fraction conversion and basic arithmetic, suitable for Grades 5-7.

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