Which fraction is NOT equivalent to 8/12 ?
A) 2/3
B) 24/36
C) 4/6
D) 6/10
The correct answer and explanation is:
The fraction that is NOT equivalent to 8/12 is D) 6/10.
Explanation:
To determine which fraction is equivalent to 8/12, we first need to simplify 8/12 by finding the greatest common divisor (GCD) of 8 and 12. The GCD of 8 and 12 is 4. By dividing both the numerator and the denominator by 4, we get:
8 ÷ 4 = 2
12 ÷ 4 = 3
Thus, 8/12 simplifies to 2/3.
Now, let’s check the other fractions:
- A) 2/3: This fraction is already in its simplest form and matches the simplified version of 8/12 (i.e., 2/3). Therefore, it is equivalent to 8/12.
- B) 24/36: To check if this fraction is equivalent to 8/12, we simplify 24/36. The GCD of 24 and 36 is 12. Dividing both the numerator and the denominator by 12:
24 ÷ 12 = 2
36 ÷ 12 = 3
So, 24/36 simplifies to 2/3, which is equivalent to 8/12.
- C) 4/6: To simplify 4/6, we find the GCD of 4 and 6, which is 2. Dividing both the numerator and the denominator by 2:
4 ÷ 2 = 2
6 ÷ 2 = 3
Thus, 4/6 simplifies to 2/3, which is equivalent to 8/12.
- D) 6/10: To check if this fraction is equivalent to 8/12, we simplify 6/10. The GCD of 6 and 10 is 2. Dividing both the numerator and the denominator by 2:
6 ÷ 2 = 3
10 ÷ 2 = 5
So, 6/10 simplifies to 3/5, which is not equivalent to 2/3 (the simplified form of 8/12).
Thus, the fraction 6/10 is not equivalent to 8/12, and the correct answer is D.