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The question asks to arrange the fractions \( \frac{1}{2}, \frac{1}{4}, \frac{1}{3} \) in order from smallest to biggest, and then select the correct option from the given multiple-choice answers.

Let's first compare the fractions:

- \( \frac{1}{2} = 0.5 \)
- \( \frac{1}{3} \approx 0.333 \)
- \( \frac{1}{4} = 0.25 \)

From smallest to biggest:

\[ \frac{1}{4} < \frac{1}{3} < \frac{1}{2} \]

The correct order of the fractions is:

\[ \frac{1}{4}, \frac{1}{3}, \frac{1}{2} \]

Now, let's check the options:

- a) \( \frac{1}{4} < \frac{1}{3} < \frac{1}{2} \) → **Correct**
- b) \( \frac{1}{2} < \frac{1}{4} < \frac{1}{3} \) → Incorrect
- c) \( \frac{1}{4} < \frac{1}{2} < \frac{1}{3} \) → Incorrect
- d) \( \frac{1}{3} < \frac{1}{2} < \frac{1}{4} \) → Incorrect
- e) \( \frac{1}{4} < \frac{1}{2} < \frac{1}{3} \) → Incorrect

Thus, the correct answer is option **a**.

Would you like further explanation on any part of the solution? 

Here are five related questions to practice:
1. Arrange \( \frac{1}{5}, \frac{1}{3}, \frac{1}{6} \) in order from smallest to largest.
2. Compare the fractions \( \frac{2}{5} \) and \( \frac{3}{7} \), and arrange them in order.
3. Which fraction is larger, \( \frac{5}{8} \) or \( \frac{3}{4} \)?
4. Convert \( \frac{1}{8}, \frac{3}{8}, \frac{5}{8} \) into decimal form and arrange them in order.
5. What is the least common denominator of \( \frac{2}{3}, \frac{1}{4}, \frac{5}{6} \)?

**Tip:** When comparing fractions, converting them to decimals or finding a common denominator can help clarify the relative sizes.

Arrange the following fractions in order from smallest to biggest: 1/2, 1/4, 1/3.

Learn how to arrange the fractions 1/2, 1/4, and 1/3 from smallest to biggest by converting them to decimal form. This exercise is suitable for students in Grades 5-7 and covers basic fraction comparison.

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