20. Which of the following fractions is equivalent to 12/16?
Answer: A
6/8 is equivalent to 12/16.
The fraction 6/8 simplifies to 12/16, as both the numerator and denominator can be multiplied by 2 to reach the original fraction.
A) 6/8
This option is correct because 6/8 can be simplified by dividing both the numerator and denominator by 2, yielding 3/4. Similarly, 12/16 simplifies to 3/4, confirming their equivalence.
B) 4/3
This option is incorrect as 4/3 is greater than 1, while 12/16 simplifies to 3/4, which is less than 1. Therefore, these fractions cannot be equivalent.
C) 20/32
This option is incorrect because 20/32 simplifies to 5/8. Since 5/8 is not equal to 3/4, this fraction does not match 12/16.
D) 2/6
This option is also incorrect as 2/6 simplifies to 1/3, which is a different value than 12/16. Thus, it cannot be equivalent to the original fraction.
Conclusion
The correct answer is A) 6/8, as it simplifies directly to the same value as 12/16. All other options do not yield the same fractional value upon simplification, confirming that they are not equivalent to 12/16.