33. Which of the following pairs of fractions is equivalent to 5/6 and 7/8?
Answer: C
20/24 and 21/24 are equivalent to 5/6 and 7/8 respectively.
The fractions 20/24 and 21/24 represent equivalent values to 5/6 and 7/8 when simplified. Specifically, 20/24 simplifies to 5/6, and 21/24 simplifies to 7/8.
A) 20/48 and 42/48
The fraction 20/48 simplifies to 5/12, which is not equivalent to 5/6. Similarly, 42/48 simplifies to 7/8, but since the first fraction is incorrect, this pair does not represent the correct equivalents.
B) 10/12 and 14/12
The fraction 10/12 simplifies to 5/6, which is correct, but 14/12 simplifies to 7/6, which is not equivalent to 7/8. Therefore, this pair does not correctly match both fractions.
C) 20/24 and 21/24
This option is correct as 20/24 simplifies to 5/6 and 21/24 simplifies to 7/8. Therefore, both fractions indeed represent the correct equivalents of the given fractions.
D) 10/16 and 14/16
The fraction 10/16 simplifies to 5/8, which is not equivalent to 5/6. Similarly, 14/16 simplifies to 7/8, but since the first fraction is incorrect, this pair does not represent the correct equivalents.
Conclusion
In summary, option C is the only pair that correctly represents the fractions equivalent to 5/6 and 7/8. Both other options either misrepresent one or both fractions or fail to simplify correctly, confirming that C is the definitive correct choice.