Perform the operation and reduce the answer fully. Make sure to express your answer as a simplified fraction: -1/10/-3/2
To simplify the fraction -1/10 divided by -3/2, we need to multiply the numerator by the reciprocal of the denominator. The reciprocal of -3/2 is -2/3.
(-1/10) / (-3/2) = (-1/10) × (-2/3)
Multiplying the numerators and denominators gives:
(-1 × -2) / (10 × 3) = 2/30
The fraction 2/30 can be further simplified by dividing both the numerator and denominator by their greatest common divisor, which is 2. This gives:
2/30 = 1/15
So, the simplified fraction is 1/15.