Final answer:
Option A) and Option B) are equivalent. To determine which fractions are equivalent to the given fraction 14/16, we need to simplify the fraction and compare it to the answer choices. The fraction 21/24 is equivalent to 14/16, while the other answer choices are not.
Step-by-step explanation:
We must identify the fractions that have the same value in order to ascertain which fractions are equal to a certain fraction. This can be accomplished by simplifying the provided fraction and determining whether any of the possible answers share the same simplified form. The fraction 14/16 is provided. By dividing the numerator and denominator by their greatest common divisor, which is 2, we may simplify this fraction. We get 7/8 by dividing both 14 and 16 by 2.
Now, let's check each answer choice:
- A. 14/16 is not equivalent to 7/8, so it is not correct.
- B. 21/24 can be simplified by dividing both the numerator and denominator by their greatest common divisor, which is 3. This gives us 7/8, which is equivalent to the given fraction. So, B is correct.
- C. 2/13 is not equivalent to 7/8, so it is not correct.
- D. 7/16 is not equivalent to 7/8, so it is not correct.
Therefore, the fractions that are equivalent to the given fraction 14/16 are B. 21/24.