Which number is greater: 3/4 or 2/3?

Which number is greater: 3/4 or 2/3?

• A. 3/4
• B. 2/3
• C. They are equal
• D. Neither

Answer: (A)

To determine which fraction is greater between 3/4 and 2/3, comparing their values is essential. One effective method is to find a common denominator for both fractions. The denominators for 3/4 and 2/3 are 4 and 3, respectively. The least common denominator (LCD) of 4 and 3 is 12. To compare these fractions, we can convert each to an equivalent fraction with this common denominator: - For 3/4, we convert it to twelfths: \(3 \times 3 = 9\), so \(3/4 = 9/12\). - For 2/3, we convert it to twelfths: \(2 \times 4 = 8\), so \(2/3 = 8/12\). Now we can directly compare 9/12 and 8/12. Since 9 is greater than 8, it follows that 9/12 (which corresponds to 3/4) is greater than 8/12 (which corresponds to 2/3). Thus, 3/4 is indeed greater than 2/3, confirming that the correct answer is 3

To determine which fraction is greater between 3/4 and 2/3, comparing their values is essential. One effective method is to find a common denominator for both fractions.

The denominators for 3/4 and 2/3 are 4 and 3, respectively. The least common denominator (LCD) of 4 and 3 is 12. To compare these fractions, we can convert each to an equivalent fraction with this common denominator:

• For 3/4, we convert it to twelfths: (3 \times 3 = 9), so (3/4 = 9/12).

• For 2/3, we convert it to twelfths: (2 \times 4 = 8), so (2/3 = 8/12).

Now we can directly compare 9/12 and 8/12. Since 9 is greater than 8, it follows that 9/12 (which corresponds to 3/4) is greater than 8/12 (which corresponds to 2/3).

Thus, 3/4 is indeed greater than 2/3, confirming that the correct answer is 3