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Write 5.3421 (bar on 21) in p/q form

Sagot :

Answer:

[tex]\frac{52887}{9900}[/tex]

Step-by-step explanation:

We require 2 equations with the repeating 21 placed after the decimal point.

let x = 5.34212121 ( multiply both sides by 100 and 10000 )

100x = 534.2121... → (1)

10000x = 53421.2121... → (2)

Subtract (1) from (2) thus eliminating the repeating 21

9900x = 52887 ( divide both sides by 9900 )

x = [tex]\frac{52887}{9900}[/tex]

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