Final answer:
Jennifer is thinking of a fraction equivalent to 2/3 where the numerator is 4 less than the denominator. By setting up the equation (d-4)/d = 2/3 and solving for d, we find that d = 12. Thus, the fraction she is thinking of is 8/12, which simplifies to 2/3.
Step-by-step explanation:
Jennifer is thinking of a fraction that is equivalent to 2/3, where the numerator is 4 less than the denominator. Let's represent the unknown denominator as d. The numerator then would be d - 4, creating the fraction (d - 4)/d.
To find a fraction equivalent to 2/3, we set up the equation:
(d - 4)/d = 2/3
Solving for d, we cross-multiply:
3(d - 4) = 2d
3d - 12 = 2d
d = 12
The denominator is 12, and the numerator is d - 4, which is 12 - 4 = 8. Therefore, the fraction Jennifer is thinking of is 8/12, which when simplified reduces to 2/3.