Final answer:
The fraction equivalent to the whole number 6 is found by multiplying the numerator and the denominator of the fraction 6/1 by the same non-zero number. The correct option from the choices given that is equivalent to 6 is d) 8/3.
Step-by-step explanation:
The fraction equivalent to the whole number 6 is a fraction that, when simplified, results in the numerator being six times the denominator since any number can be expressed as a fraction over 1. To find an equivalent fraction to 6, you can multiply both the numerator and denominator of 6/1 by the same non-zero number. Looking at the options provided:
- a) 17/3 is not equivalent to 6 because 17/3 is the same as 5 2/3.
- b) 7/2 is not equivalent to 6 because 7/2 is the same as 3 1/2.
- c) 12/9 is not equivalent to 6 because 12/9 simplifies to 4/3.
- d) 8/3 is equivalent to 6 because when 8/3 is multiplied by 2/2, it gives 16/6, which reduces back to 8/3, confirming that 8/3 is an equivalent fraction to 6.
The correct answer is d) 8/3.