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To order the fractions \( \frac{4}{5}, \frac{9}{10}, \) and \( \frac{6}{10} \) in ascending order, we need to compare them by converting them to the same denominator.

1. **Convert all fractions to have a common denominator:**
   - The least common denominator (LCD) of 5 and 10 is 10.
   - \( \frac{4}{5} \) becomes \( \frac{8}{10} \) (by multiplying both the numerator and denominator by 2).
   - \( \frac{9}{10} \) stays as \( \frac{9}{10} \).
   - \( \frac{6}{10} \) stays as \( \frac{6}{10} \).

2. **Now, the fractions are:**
   - \( \frac{8}{10}, \frac{9}{10}, \frac{6}{10} \)

3. **Order them from smallest to largest:**
   - \( \frac{6}{10}, \frac{8}{10}, \frac{9}{10} \)

Thus, the fractions in ascending order are:
\[ \frac{6}{10}, \frac{4}{5}, \frac{9}{10} \]

Would you like more details or explanations? Here are 5 related questions you can explore:

1. How do you find the least common denominator for fractions?
2. Why is it necessary to use a common denominator when comparing fractions?
3. How do you convert improper fractions to mixed numbers?
4. How do you use number lines to compare fractions effectively?
5. Can you explain how to reduce fractions to their simplest form?

**Tip:** Always simplify fractions when possible to make comparisons easier.

Write 4/5, 9/10, and 6/10 in ascending order (smallest to largest). Use the number line below to help you.

Learn how to compare and order fractions with different denominators by converting them to a common denominator. This problem involves the fractions 4/5, 9/10, and 6/10, and uses concepts like least common denominator and number line comparison. Suitable for students in Grades 4-6.

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