Final answer:
To perform the operation -(16/21) ÷ (-8/3), we convert the Division of Fractions into multiplication by flipping the second fraction. This gives -(16/21) * (-3/8) = 6/7, which is in simplest form.
Step-by-step explanation:
The operation being performed in your question is division of fractions. In order to solve this, we should remember the rule: 'In division, flip the second fraction and multiply'. Therefore,
-(16/21) ÷ (-8/3) converts to -(16/21) * (-3/8).
Multiplying these two fractions gives us an answer of 6/7, which is in simplest form.
Learn more about Division of Fractions