https://file.aiquickdraw.com/mathbot/file/1725190368265zjbhqtvn.jpg

The image shows the decimal number \(0.456123\).

To convert this decimal into a fraction, we can follow these steps:

1. **Write the decimal as a fraction with 1 in the denominator:**

   \[
   0.456123 = \frac{0.456123}{1}
   \]

2. **Multiply the numerator and the denominator by \(10^6\) (since there are six digits after the decimal point) to remove the decimal:**

   \[
   \frac{0.456123 \times 10^6}{1 \times 10^6} = \frac{456123}{1000000}
   \]

3. **Simplify the fraction, if possible:**

   The fraction \(\frac{456123}{1000000}\) can be simplified by finding the greatest common divisor (GCD) of 456123 and 1000000, which is 1 (meaning it's already in its simplest form).

   Therefore, the fraction representation of the decimal \(0.456123\) is:

   \[
   \frac{456123}{1000000}
   \]

Would you like further details or have any questions?

Here are some related questions you might consider:

1. How do you find the greatest common divisor (GCD) of two numbers?
2. What is the process to convert a repeating decimal into a fraction?
3. How can you express a fraction as a decimal?
4. What are some common methods for simplifying fractions?
5. How would you convert \(0.456123\) into a percentage?

**Tip:** Always check if both the numerator and the denominator can be divided by the same number to simplify fractions.

Learn how to convert the decimal number 0.456123 into a fraction step-by-step. This problem involves understanding decimals, fractions, and using the concept of greatest common divisor (GCD) for simplification. Suitable for students in Grades 6-8.

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