To simplify the division between fractions, follow this steps:
Step 1. Turn the second fraction (the one that is dividing the first fraction) upside down:
![(7)/(30)\rightarrow(30)/(7)](https://img.qammunity.org/2023/formulas/mathematics/college/irrj72e6wsg9fq39ad4hd14scc2swxo0sy.png)
Step 2. Multiply the first fraction by the one obtained in the first step:
![(14)/(15)\cdot(30)/(7)=(14\cdot30)/(15\cdot7)=(420)/(105)](https://img.qammunity.org/2023/formulas/mathematics/college/78t1liz7z3a3q12u2osqjs1ytdag9kktz5.png)
Step 3. Simplify:
![(420)/(105)=4](https://img.qammunity.org/2023/formulas/mathematics/college/r5uzxrlr6b5t1a3w0w307q3zgejdvt5jav.png)
The answer is 4.