Pertanyaan

Bentuk sederhana dari 3 − 1 − 1 − 1 − 1 − a 2 2 2 2 2 adalah .....

Bentuk sederhana dari $3 - \frac{2}{1 - \frac{2}{1 - \frac{2}{1 - \frac{2}{1 - \frac{2}{a}}}}}$ adalah .....

$fraction numerator a space plus space 14 over denominator a space plus space 6 end fraction$
$fraction numerator a space minus space 14 over denominator 3 a space plus space 6 end fraction$
$fraction numerator 3 a space plus space 14 over denominator 3 a space minus space 6 end fraction$
$fraction numerator 3 a plus 14 over denominator negative a plus 6 end fraction$

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Bentuk sederhananya adalah:

$3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus begin display style fraction numerator 2 over denominator 1 space minus space begin display style 2 over a end style end fraction end style end fraction end style end fraction end style end fraction equals 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus begin display style fraction numerator 2 over denominator begin display style fraction numerator a minus 2 over denominator a end fraction end style end fraction end style end fraction end style end fraction end style end fraction equals 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus begin display style fraction numerator 2 a over denominator begin display style a minus 2 end style end fraction end style end fraction end style end fraction end style end fraction space equals space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator begin display style fraction numerator a minus 2 minus 2 a over denominator a space minus space 2 end fraction end style end fraction end style end fraction end style end fraction equals space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 left parenthesis a minus 2 right parenthesis over denominator negative a minus 2 end fraction end style end fraction end style end fraction equals space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 a minus 4 over denominator begin display style negative a minus 2 end style end fraction end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 over denominator space begin display style fraction numerator negative a minus 2 minus 2 a plus 4 over denominator negative a minus 2 end fraction end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator 2 left parenthesis negative a minus 2 right parenthesis over denominator begin display style negative 3 a plus 2 end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator 1 space minus space begin display style fraction numerator negative 2 a minus 4 over denominator begin display style negative 3 a plus 2 end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator space begin display style fraction numerator negative 3 a plus 2 minus left parenthesis negative 2 a minus 4 right parenthesis over denominator begin display style negative 3 a plus 2 end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator space begin display style fraction numerator negative 3 a plus 2 plus 2 a plus 4 over denominator begin display style negative 3 a plus 2 end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 over denominator space begin display style fraction numerator negative a plus 6 over denominator begin display style negative 3 a plus 2 end style end fraction end style end fraction equals space space 3 space minus space fraction numerator 2 left parenthesis negative 3 a space plus space 2 right parenthesis over denominator negative a plus 6 end fraction equals space fraction numerator 3 left parenthesis negative a space plus space 6 right parenthesis space minus space 2 left parenthesis negative 3 a plus 2 right parenthesis over denominator negative a space plus space 6 end fraction equals space fraction numerator negative 3 a plus 18 plus 6 a space minus 4 over denominator negative a space plus space 6 end fraction equals space fraction numerator 3 a space plus space 14 over denominator negative a space plus space 6 end fraction$