Select the fraction that is NOT equivalent to 1/3.

To find the fraction that is **not** equivalent to \( \frac{1}{3} \), let's compare a few fractions and check their equivalence.

A fraction is equivalent to \( \frac{1}{3} \) if, when simplified, it results in the same value.

For example:
1. \( \frac{2}{6} \) is equivalent to \( \frac{1}{3} \), because \( \frac{2}{6} = \frac{1}{3} \) after simplifying.
2. \( \frac{3}{9} \) is also equivalent to \( \frac{1}{3} \), because \( \frac{3}{9} = \frac{1}{3} \) after simplifying.
3. \( \frac{4}{12} \) is equivalent to \( \frac{1}{3} \), because \( \frac{4}{12} = \frac{1}{3} \).
4. \( \frac{5}{12} \), however, is **not** equivalent to \( \frac{1}{3} \), because simplifying \( \frac{5}{12} \) does not give \( \frac{1}{3} \).

So, the fraction **not equivalent to** \( \frac{1}{3} \) is **\( \frac{5}{12} \)**.

Would you like further details on how to simplify these fractions?

Here are some related questions to explore:
1. What is the process of simplifying a fraction?
2. How do you compare fractions to check if they are equivalent?
3. Can two different-looking fractions always be equivalent?
4. What is a practical application of equivalent fractions in real life?
5. How do you find the least common denominator for comparing fractions?

**Tip:** Always simplify fractions by dividing the numerator and denominator by their greatest common divisor (GCD).

Learn how to identify fractions that are not equivalent to 1/3 with detailed step-by-step comparisons and simplifications. This exercise covers the concept of equivalent fractions and simplification, suitable for students in Grades 4-6.

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