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To order the given fractions from smallest to largest, we need to compare their values. The fractions provided are:

\[
\frac{3}{4}, \frac{6}{10}, \frac{12}{24}, \frac{8}{9}, \frac{2}{3}
\]

### Step 1: Convert all fractions to decimals for easy comparison.

- \( \frac{3}{4} = 0.75 \)
- \( \frac{6}{10} = 0.6 \)
- \( \frac{12}{24} = 0.5 \)
- \( \frac{8}{9} \approx 0.8889 \)
- \( \frac{2}{3} \approx 0.6667 \)

### Step 2: Arrange the decimal values from smallest to largest.
\[
0.5, 0.6, 0.6667, 0.75, 0.8889
\]

Thus, the corresponding order of the fractions from smallest to largest is:
\[
\frac{12}{24}, \frac{6}{10}, \frac{2}{3}, \frac{3}{4}, \frac{8}{9}
\]

Would you like further details on any step?

Here are some follow-up questions:
1. How can you convert a fraction to its decimal form?
2. What are the properties of equivalent fractions?
3. Why is comparing decimals useful for ordering fractions?
4. How do you simplify fractions before comparing them?
5. What are other methods for comparing fractions without converting to decimals?

**Tip**: When comparing fractions, finding a common denominator can be an alternative to converting them to decimals!

Write these fractions in order from smallest to largest: 3/4, 6/10, 12/24, 8/9, 2/3.

Learn how to order fractions like 3/4, 6/10, 12/24, 8/9, and 2/3 from smallest to largest. This method involves converting fractions to decimals for easy comparison. Perfect for Grade 5-7 students working on fractions and decimals.

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