Which of the following statements is true?
2/3 < 5/12

To determine whether the statement \( \frac{2}{3} < \frac{5}{12} \) is true, we need to compare the two fractions.

First, let's find a common denominator. The least common denominator (LCD) between 3 and 12 is 12.

- Convert \( \frac{2}{3} \) to have a denominator of 12:
  \[
  \frac{2}{3} = \frac{2 \times 4}{3 \times 4} = \frac{8}{12}
  \]

- Now compare \( \frac{8}{12} \) and \( \frac{5}{12} \).

Since \( 8 > 5 \), we know that \( \frac{8}{12} > \frac{5}{12} \).

Thus, \( \frac{2}{3} > \frac{5}{12} \), and the statement \( \frac{2}{3} < \frac{5}{12} \) is **false**.

Would you like more details or have any questions?

Here are some related questions:
1. How do you find the least common denominator of two fractions?
2. How do you convert fractions to equivalent fractions with a common denominator?
3. How do you compare fractions without finding a common denominator?
4. Can improper fractions also be compared in this manner?
5. What are some examples of real-world situations where comparing fractions is useful?

**Tip:** When comparing fractions, converting them to have the same denominator makes it easier to see which is larger.

Which of the following statements is true? 2/3 < 5/12

Learn how to compare fractions by finding a common denominator in the problem 2/3 < 5/12. Understand the key steps, including finding the least common denominator (LCD) and converting fractions. This solution is suitable for students in Grades 5-7.

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