15. Which of the following fractions is equivalent to 7/8?
Answer: D
35/40 is equivalent to 7/8.
The fraction 35/40 simplifies to 7/8, demonstrating that it is equivalent to the given fraction.
A) 17/18
The fraction 17/18 is not equivalent to 7/8. To compare, 7/8 equals 0.875, while 17/18 equals approximately 0.944, indicating that they represent different values.
B) 1 1/7
The mixed number 1 1/7 can be converted to an improper fraction, which is 8/7. This value is greater than 7/8, thus they are not equivalent.
C) 49/64
The fraction 49/64 is also not equivalent to 7/8. When converted to decimal, 49/64 is approximately 0.765, which is less than 0.875, showing they are different fractions.
D) 35/40
The fraction 35/40 can be simplified by dividing both the numerator and denominator by 5, resulting in 7/8. Therefore, this option is equivalent to the fraction in question.
Conclusion
35/40 is definitively equivalent to 7/8, as it can be simplified directly to match the original fraction. In contrast, the other options either exceed or fall short of the value represented by 7/8, confirming their ineffectiveness as equivalent fractions.