5. Which of the following pairs of fractions is equivalent?
Answer: C
2/3 and 10/15 are equivalent fractions.
The fractions 2/3 and 10/15 represent the same value when simplified, confirming their equivalence.
A) 5/9 and 45/72
The fraction 5/9 is not equivalent to 45/72. To check, we can simplify 45/72 by dividing both the numerator and denominator by 9, which results in 5/8, not 5/9.
B) 4/5 and 7/4
The fraction 4/5 is not equivalent to 7/4. In fact, they represent different values: 4/5 is less than 1, while 7/4 is greater than 1, indicating they cannot be equivalent.
C) 2/3 and 10/15
The fractions 2/3 and 10/15 are equivalent because when 10/15 is simplified by dividing both the numerator and the denominator by 5, it results in 2/3. This confirms their equivalence.
D) 3/8 and 8/13
The fraction 3/8 is not equivalent to 8/13. They represent different values, as 3/8 is less than 1/2 while 8/13 is greater than 1/2, indicating they cannot be equivalent.
Conclusion
The correct answer, C) 2/3 and 10/15, is definitively accurate as both fractions simplify to the same value, demonstrating their equivalence. All other options either simplify to different fractions or represent different values, confirming that they do not meet the criteria for equivalence.