Final answer:
Among the given options, 9/15 is not equal to 4/5; it simplifies to 3/5, making it the only non-equivalent fraction to 4/5 among the choices provided.
Step-by-step explanation:
The question asks to identify which fraction is not equivalent to 4/5. To determine equivalency, each option can be simplified or compared to 4/5 after adjusting to a common denominator if necessary.
- Option a: 40/50 simplifies to 4/5 by dividing both the numerator and the denominator by 10, so this fraction is equivalent to 4/5.
- Option b: 12/15 simplifies to 4/5 by dividing both the numerator and denominator by 3, so this fraction is also equivalent to 4/5.
- Option c: 16/20 simplifies to 4/5 by dividing both numerator and denominator by 4, so this fraction is equivalent to 4/5 as well.
- Option d: 9/15 simplifies to 3/5 by dividing both numerator and denominator by 3, so this fraction is not equivalent to 4/5.
Therefore, the answer is Option d: 9/15, which is not equal to 4/5.