Write 3.075 as a mixed number and as an improper fraction.
Write your answers in simplest form.

To express \(3.075\) as a mixed number and as an improper fraction, let's follow these steps:

### Step 1: Convert to a Mixed Number
- The whole number part is \(3\).
- The decimal part is \(0.075\).

Now, express \(0.075\) as a fraction:
\[
0.075 = \frac{75}{1000}
\]
Simplify \(\frac{75}{1000}\) by dividing the numerator and denominator by their greatest common divisor, which is \(25\):
\[
\frac{75 \div 25}{1000 \div 25} = \frac{3}{40}
\]
So, \(3.075\) as a mixed number is:
\[
3 \frac{3}{40}
\]

### Step 2: Convert to an Improper Fraction
To convert \(3 \frac{3}{40}\) to an improper fraction:
- Multiply the whole number part by the denominator: \(3 \times 40 = 120\).
- Add the numerator: \(120 + 3 = 123\).
- Place the result over the original denominator:
\[
\frac{123}{40}
\]

### Final Answers:
- **Mixed number:** \(3 \frac{3}{40}\)
- **Improper fraction:** \(\frac{123}{40}\)

Would you like more details, or do you have any questions?

Here are 5 related questions:
1. How would you convert \(2.625\) to a mixed number?
2. What is the improper fraction for \(5 \frac{7}{8}\)?
3. How do you simplify the fraction \(\frac{45}{60}\)?
4. What is \(4.125\) as an improper fraction?
5. How can you convert \(7 \frac{5}{6}\) back to a decimal?

**Tip:** When converting decimals to fractions, always simplify the fraction by finding the greatest common divisor of the numerator and denominator.

Write 3.075 as a mixed number and as an improper fraction. Write your answers in simplest form.

Discover how to convert the decimal 3.075 into a mixed number and an improper fraction in simplest form. This problem is ideal for students in Grades 4-6, covering essential fraction and decimal concepts.

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