Answer:
The answer is
.
Explanation:
Use the KCF (keep, change, flip) method:
Keep the first fraction the same:
÷
![(4)/(9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/593x9cj6xundf4nbj5w1lrrseodoyrkzjn.png)
Change the division sign to a multiplication sign:
·
![(4)/(9)](https://img.qammunity.org/2020/formulas/mathematics/high-school/593x9cj6xundf4nbj5w1lrrseodoyrkzjn.png)
Flip the second fraction:
·
![(9)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/mu5wv2sdrs8r07ck3s3v4c71inoihz0ih9.png)
Simplify by dividing 9 into 54 and 9.
·
![(9/9)/(4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/lnjm4hdi42i4gbyms76i76udgelqyer5q1.png)
·
![(1)/(4)](https://img.qammunity.org/2020/formulas/mathematics/high-school/iiq2xsk4vi9pqjukqb60xxgyxukyno498i.png)
Then, multiply the fraction across normally.
![(17*1)/(6*4)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/ufk7kl0k2w0fgmcrf6gneebb2fckos94zc.png)
![(17)/(24)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qik2e1m606dgdlxmbjo6wsywe3nxni5pbr.png)