Answer:
[tex]\frac{406}{27}[/tex] or [tex]15\frac{1}{27}[/tex]
Step-by-step explanation:
we have
[tex]\frac{1,218}{81}[/tex]
decompose the numbers in prime factors
[tex]1,218=(2)(3)(7)(29)[/tex]
[tex]81=3^4[/tex]
substitute
[tex]\frac{1,218}{81}=\frac{(2)(3)(7)(29)}{3^4}[/tex]
simplify
[tex]\frac{(2)(7)(29)}{3^3}=\frac{406}{27}[/tex]
Convert to mixed number
[tex]\frac{406}{27}=\frac{405}{27}+\frac{1}{27}=15\frac{1}{27}[/tex]
