Divide. Reduce the answer to lowest terms.

Answer:
[tex]\frac{4}{15}[/tex]
Step-by-step explanation:
Given the following question:
[tex]\frac{1}{5} \div\frac{3}{4}[/tex]
To find the answer we will use KCF (Keep, Change, Flip) apply it to the following question and then complete by multiplying and reducing. If needed of course.
[tex]\frac{1}{5} \div\frac{3}{4}[/tex]
Apply KCF:
[tex]\frac{1}{5} \div\frac{3}{4}=\frac{1}{5} \times\frac{4}{3}[/tex]
[tex]\frac{1}{5} \times\frac{4}{3}[/tex]
Solve:
[tex]1\times4=4[/tex]
[tex]5\times3=15[/tex]
[tex]=\frac{4}{15}[/tex]
Answer is in simplest terms.
Which means your answer is the first option or "4/15."
Hope this helps.