Answer:
[tex]\frac{20}{9}[/tex]
Step-by-step explanation:
step 1
Convert mixed number to an improper fraction
[tex]1\frac{7}{9}=1+\frac{7}{9}=\frac{16}{9}[/tex]
step 2
Divide 16/9 by 4/5
[tex]\frac{(16/9)}{(4/5)}=\frac{16*5}{9*4}=\frac{80}{36}[/tex]
Simplify
Divide by 4 both numerator and denominator
[tex]\frac{80}{36}=\frac{20}{9}[/tex]