To convert the decimal 10.875 to a mixed number, follow these steps:

1. **Identify the whole number**: The whole number part of 10.875 is 10.

2. **Convert the decimal part to a fraction**: The decimal 0.875 can be written as a fraction with 1000 as the denominator (since 875 is in the thousandths place):
   \[
   0.875 = \frac{875}{1000}
   \]

3. **Simplify the fraction**: To simplify \(\frac{875}{1000}\), find the greatest common divisor (GCD) of 875 and 1000, which is 125:
   \[
   \frac{875 \div 125}{1000 \div 125} = \frac{7}{8}
   \]

4. **Write the mixed number**: Combine the whole number with the simplified fraction:
   \[
   10.875 = 10 \frac{7}{8}
   \]

So, **10.875 as a mixed number is \(10 \frac{7}{8}\)**.

Would you like further details or have any questions?

Here are 5 related questions:

1. How do you convert a mixed number to an improper fraction?
2. What is the process for converting a repeating decimal to a fraction?
3. How can you simplify fractions using the greatest common divisor (GCD)?
4. How would you convert 10.875 to a percentage?
5. What are the steps to convert a mixed number back into a decimal?

**Tip:** When simplifying fractions, always look for the greatest common divisor to ensure the fraction is in its simplest form.

Learn how to convert the decimal 10.875 to a mixed number, step-by-step. This guide covers decimal conversion, mixed numbers, and fraction simplification, suitable for Grades 5-6.

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