Write 3.016 as a mixed number and as an improper fraction.

To express \( 3.016 \) as a mixed number and an improper fraction:

### Step 1: Mixed Number
The integer part is \( 3 \) and the decimal part is \( 0.016 \).

We can rewrite \( 0.016 \) as a fraction:
\[
0.016 = \frac{16}{1000}
\]
Now, simplify \( \frac{16}{1000} \). The greatest common divisor (GCD) of \( 16 \) and \( 1000 \) is \( 8 \), so:
\[
\frac{16}{1000} = \frac{16 \div 8}{1000 \div 8} = \frac{2}{125}
\]

Thus, the mixed number form is:
\[
3 + \frac{2}{125} = 3 \frac{2}{125}
\]

### Step 2: Improper Fraction
Convert the mixed number \( 3 \frac{2}{125} \) to an improper fraction. First, multiply the integer part by the denominator:
\[
3 \times 125 = 375
\]
Then add the numerator:
\[
375 + 2 = 377
\]
So, the improper fraction is:
\[
\frac{377}{125}
\]

### Final Answer:
- Mixed number: \( 3 \frac{2}{125} \)
- Improper fraction: \( \frac{377}{125} \)

Do you want more details or have any questions?

Here are 5 related questions:
1. How do you convert a mixed number into an improper fraction in general?
2. Can any decimal number be expressed as a fraction?
3. How do you simplify fractions?
4. What is the decimal equivalent of \( \frac{2}{125} \)?
5. How do you determine the GCD of two numbers?

**Tip:** When converting decimals to fractions, always check if you can simplify the resulting fraction.

Learn how to convert the decimal 3.016 into a mixed number (3 2/125) and an improper fraction (377/125). This detailed solution simplifies the fraction 16/1000 to 2/125 and shows the process step-by-step. Suitable for Grades 6-8 students.

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