Question

Divide.

Answer 1

Answer:

$\frac{406}{27}$  or $15\frac{1}{27}$

Step-by-step explanation:

we have

$\frac{1,218}{81}$

decompose the numbers in prime factors

$1,218=(2)(3)(7)(29)$

$81=3^4$

substitute

$\frac{1,218}{81}=\frac{(2)(3)(7)(29)}{3^4}$

simplify

$\frac{(2)(7)(29)}{3^3}=\frac{406}{27}$

Convert to mixed number

$\frac{406}{27}=\frac{405}{27}+\frac{1}{27}=15\frac{1}{27}$