The expression \( \frac{1}{3} \times 2 \times \frac{1}{4} \) involves multiplying the fractions \(\frac{1}{3}\) and \(\frac{1}{4}\) with the whole number 2.

Let's break it down step by step:

1. **Multiply \(\frac{1}{3}\) by 2:**

   \[
   \frac{1}{3} \times 2 = \frac{2}{3}
   \]

2. **Now, multiply \(\frac{2}{3}\) by \(\frac{1}{4}\):**

   \[
   \frac{2}{3} \times \frac{1}{4} = \frac{2 \times 1}{3 \times 4} = \frac{2}{12} 
   \]

3. **Simplify \(\frac{2}{12}\):**

   The GCD of 2 and 12 is 2, so:

   \[
   \frac{2}{12} = \frac{2 \div 2}{12 \div 2} = \frac{1}{6}
   \]

Therefore, the result of \( \frac{1}{3} \times 2 \times \frac{1}{4} \) is \(\frac{1}{6}\).

Would you like more details or have any other questions?

Here are 5 related questions:

1. How do you multiply \(\frac{1}{2}\) by \(\frac{3}{4}\)?
2. What is \(\frac{1}{3} + \frac{2}{3}\)?
3. How do you divide fractions, such as \(\frac{1}{3} \div \frac{1}{4}\)?
4. What is the decimal equivalent of \(\frac{1}{6}\)?
5. How do you simplify \(\frac{4}{8}\)?

**Tip:** When multiplying fractions, multiply the numerators together and the denominators together. Then, simplify the result if possible.

Learn how to multiply fractions 1/3 by 2 and then by 1/4 with a detailed step-by-step solution. This problem covers key concepts in fractions multiplication and simplification. Suitable for students in Grades 4-6.

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