Question

Divide.

1,218 ÷ 81

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Answer 1

`(406)/(27)` or
`15(1)/(27)`

Explanation:

we have

`(1,218)/(81)`

decompose the numbers in prime factors

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

`81=3^4`

substitute

`(1,218)/(81)=((2)(3)(7)(29))/(3^4)`

simplify

`((2)(7)(29))/(3^3)=(406)/(27)`

Convert to mixed number

`(406)/(27)=(405)/(27)+(1)/(27)=15(1)/(27)`