Final answer:
The division of the fractions -(1/6) and (5/3) is achieved by multiplying -(1/6) by the reciprocal of 5/3 (which is 3/5). This results in the answer -1/10.
Step-by-step explanation:
To solve the division problem (-(1)/(6)) ÷ (5)/(3), we first need to understand the concept of dividing fractions. When you divide fractions, you essentially multiply the first fraction by the reciprocal of the second. The reciprocal of a fraction is obtained by swapping the numerator and the denominator.
So, our problem converts to multiplying -(1/6) by the reciprocal of 5/3, which is 3/5. Multiplying these fractions, we calculate:
-(1/6) * (3/5) = -(1*3)/(6*5) = -3/30
Simplifying this, we get: -3/30 = -1/10. So, the result of (-(1)/(6)) ÷ (5)/(3) is -1/10.
Learn more about fraction division