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To compare the given fractions, we need to either convert them to have a common denominator or convert them into decimals.

The given fractions are:
\[
\frac{3}{4}, \frac{5}{6}, \frac{1}{2}, \frac{4}{5}
\]

### Step 1: Convert each fraction to a decimal:
\[
\frac{3}{4} = 0.75
\]
\[
\frac{5}{6} \approx 0.8333
\]
\[
\frac{1}{2} = 0.5
\]
\[
\frac{4}{5} = 0.8
\]

### Step 2: Compare the decimal values:
- \(\frac{1}{2} = 0.5\)
- \(\frac{3}{4} = 0.75\)
- \(\frac{4}{5} = 0.8\)
- \(\frac{5}{6} \approx 0.8333\)

### Step 3: Order from smallest to largest:
\[
\frac{1}{2} < \frac{3}{4} < \frac{4}{5} < \frac{5}{6}
\]

Thus, the fractions in order from smallest to largest are:
\[
\frac{1}{2}, \frac{3}{4}, \frac{4}{5}, \frac{5}{6}
\]

Would you like more details on the method used, or do you have any questions?

### Related Questions:
1. How can we find the least common denominator for these fractions?
2. How do you convert fractions to percentages?
3. What is the decimal equivalent of \(\frac{7}{8}\)?
4. How do you compare fractions without converting them to decimals?
5. What is the best method to simplify fractions before comparison?

### Tip:
Converting fractions to decimals is often the quickest way to compare their sizes. However, using common denominators is useful when you need exact values, especially when dealing with more complex fractions.

Write these fractions in order of size. Start with the smallest fraction: 3/4, 5/6, 1/2, 4/5.

Learn how to order the fractions 3/4, 5/6, 1/2, and 4/5 from smallest to largest by converting them to decimals. Suitable for students in Grades 5-7.

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