Respuesta :

Answer:

Let 0.12 be x.

Here, x is recurring in two decimal places so we'll multiply it by 10-

  • 10x = 1.22

Now, by subtracting them-

[tex] \\ \implies \sf \: 10x - x = 1.22 - 0.12 \\ \\ \\ \implies \sf \: 9x = 1.1 \\ [/tex]

Now, we'll divide both sides by 9 to get x as a fraction -

[tex] \\ \implies \sf \: x = \frac{1.1}{9} \\ \\ \\ \star \: \large{ \boxed{ \sf{x = \frac{11}{90} }}} \\ [/tex]
12/100 is written in facetious

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