Final answer:
To express -6s = 35 as a fraction, divide both sides by -6 to isolate s, resulting in s = 35 / -6 or as a simplified fraction, -35/6.
Step-by-step explanation:
To solve the equation -6s = 35 and express s as a fraction, we first want to isolate s by performing the inverse of multiplication, which is division. We divide both sides of the equation by -6. This yields s = 35 / -6.
To express this as a fraction, we simply leave it in the form 35 / -6. If you wish, you can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor. However, in this case, 35 and 6 have a greatest common divisor of 1, which means the fraction is already in its simplest form. Moreover, it is customary to express negative fractions with the negative sign in front of the fraction rather than with the denominator, yielding -35/6.