Answer:
[tex]\sf 2\frac{10}{63}[/tex]
steps:
[tex]\sf \frac{6}{7} *2\frac{14}{27}[/tex]
convert into mixed fraction
[tex]\sf \frac{6}{7}\cdot \frac{68}{27}[/tex]
multiply both fractions
[tex]\sf \frac{6\cdot \:68}{7\cdot \:27}[/tex]
simplify the fraction
[tex]\frac{408}{189}[/tex]
final answer in improper fraction
[tex]\sf \frac{136}{63}[/tex]
convert in mixed fraction
[tex]\sf 2\frac{10}{63}[/tex]