Answer:
[tex]v=\frac{48}{5}=9\frac{3}{5} \\ [/tex]
Step-by-step explanation:
[tex]\frac{8}{5}=\frac{v}{6}[/tex]
Swap sides:
[tex]\frac{v}{6}=\frac{8}{5}[/tex]
Multiply to both sides by 6:
[tex]\frac{v}{6}\cdot6=\frac{8}{5}\cdot6[/tex]
Group like terms:
[tex]\frac{1}{6}\cdot6v=\frac{8}{5}\cdot6[/tex]
Simplify the fraction:
[tex]v=\frac{8}{5}\cdot6[/tex]
Multiply the fractions
[tex]v=\frac{8\cdot6}{5}[/tex]
Simplify the arithmetic:
[tex]v=\frac{48}{5}[/tex]