Verified answer

a) [tex]\displaystyle x*\frac{14}{15}= \frac{7}{9}|:\frac{14}{15}[/tex]
[tex]\displaystyle x= \frac{7}{9}*\frac{15}{14}[/tex]
[tex]\displaystyle x= \frac{1}{3}*\frac{5}{2}[/tex]
[tex]\displaystyle x= \frac{5}{6}[/tex]

b) [tex]\displaystyle \frac{16}{19}:x=\frac{8}{11}[/tex]
[tex]\displaystyle x= \frac{16}{19}:\frac{8}{11}[/tex]
[tex]\displaystyle x= \frac{16}{19}*\frac{11}{8}[/tex]
[tex]\displaystyle x= \frac{2}{19}*\frac{11}{1}[/tex]
[tex]\displaystyle x= \frac{22}{19}[/tex]
[tex]\displaystyle x=1\frac{3}{19}[/tex]