Final answer:
The rational number 35/-15 reduced to standard form is -7/3, as the greatest common divisor of 35 and 15 is 5, and when divided by 5 they yield 7/-3, resulting in a negative fraction.
Step-by-step explanation:
To reduce the rational number 35/-15 to standard form, we need to find the greatest common divisor (GCD) that both the numerator and the denominator have in common. In this case, the GCD of 35 and 15 is 5. So, we divide both the numerator and the denominator by 5:
(35 ÷ 5) / (-15 ÷ 5) = 7/-3
Since we have a positive divided by a negative, the result is negative. Therefore, the standard form of 35/-15 is -7/3, which corresponds to option A.