Convert the decimal below to a fraction in simplest form.
0, point, 6, 9, 5
0.695

To convert the decimal \( 0.695 \) to a fraction, follow these steps:

### Step 1: Set up the decimal as a fraction
Let the decimal be represented as \( x = 0.695 \).

### Step 2: Remove the decimal places by multiplying both sides by 1000
This is because \( 0.695 \) has three decimal places:
\[
1000x = 695
\]

### Step 3: Write as a fraction
Now, we have:
\[
x = \frac{695}{1000}
\]

### Step 4: Simplify the fraction
Find the greatest common divisor (GCD) of 695 and 1000. The GCD of 695 and 1000 is 5.

Now, divide both the numerator and the denominator by 5:
\[
x = \frac{695 \div 5}{1000 \div 5} = \frac{139}{200}
\]

Thus, \( 0.695 \) as a fraction in simplest form is \( \frac{139}{200} \).

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. How do you convert a repeating decimal into a fraction?
2. What is the GCD of two numbers, and how is it found?
3. How do you simplify complex fractions?
4. How would you convert \( 0.695 \% \) to a fraction?
5. What are the steps to convert a mixed decimal (e.g., 2.75) into a fraction?

**Tip:** Always check if the numerator and denominator share any common factors to simplify the fraction further.

Convert the decimal below to a fraction in simplest form. 0.695

This guide explains how to convert the decimal 0.695 into a fraction in its simplest form. Using key concepts in number theory and fractions, we simplify 695/1000 to 139/200 by applying the Greatest Common Divisor (GCD). Ideal for students in Grades 6-8.

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