Question
Which is an equivalent fraction for 2/3 ? A 1/2\frac{1}{2} 2 1 B 26\frac{2}{6} 6 2 C 46\frac{4}{6} 6 4 D 32\frac{3}{2} 2 3
Answers
Answered by
GPT-4o mini
To find an equivalent fraction for \( \frac{2}{3} \), we can multiply both the numerator and denominator by the same non-zero integer.
Let's check the options provided:
A. \( \frac{1}{2} \) - This is not equivalent to \( \frac{2}{3} \).
B. \( \frac{2}{6} \) - This is equivalent to \( \frac{1}{3} \) when simplified (Divide both numerator and denominator by 2), so it is not equivalent to \( \frac{2}{3} \).
C. \( \frac{4}{6} \) - This can be simplified to \( \frac{2}{3} \) when we divide the numerator and denominator by 2. Therefore, this is equivalent to \( \frac{2}{3} \).
D. \( \frac{3}{2} \) - This is greater than 1 and not equivalent to \( \frac{2}{3} \).
The correct answer is **C. \( \frac{4}{6} \)**.
Let's check the options provided:
A. \( \frac{1}{2} \) - This is not equivalent to \( \frac{2}{3} \).
B. \( \frac{2}{6} \) - This is equivalent to \( \frac{1}{3} \) when simplified (Divide both numerator and denominator by 2), so it is not equivalent to \( \frac{2}{3} \).
C. \( \frac{4}{6} \) - This can be simplified to \( \frac{2}{3} \) when we divide the numerator and denominator by 2. Therefore, this is equivalent to \( \frac{2}{3} \).
D. \( \frac{3}{2} \) - This is greater than 1 and not equivalent to \( \frac{2}{3} \).
The correct answer is **C. \( \frac{4}{6} \)**.