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Jika 13 5 ​ = p + q + r 1 ​ 1 ​ 1 ​ maka p + q + r = ...

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E. Dwi

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hasil dari p + q + r adalah 4 2 1 ​ .

hasil dari  adalah .

Pembahasan

Perlu diingat bahwa: b a ​ = a b ​ 1 ​ Perhatikan perhitungan berikut: Diperoleh p = 2 , q = 1 , dan r = 2 3 ​ . Hasil dari p + q + r yaitu: p + q + r ​ = = = = = ​ 2 + 1 + 2 3 ​ 3 + 2 3 ​ 2 6 ​ + 2 3 ​ 2 9 ​ 4 2 1 ​ ​ Jadi, hasil dari p + q + r adalah 4 2 1 ​ .

Perlu diingat bahwa:

Perhatikan perhitungan berikut:

table attributes columnalign right center left columnspacing 0px end attributes row cell 5 over 13 end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 13 over 5 end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 2 plus 3 over 5 end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 2 plus 3 over 5 end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 2 plus fraction numerator 1 over denominator begin display style 5 over 3 end style end fraction end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 2 plus fraction numerator 1 over denominator begin display style 1 plus 2 over 3 end style end fraction end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus begin display style 1 over r end style end fraction end style end fraction end cell row cell fraction numerator 1 over denominator begin display style 2 plus fraction numerator 1 over denominator begin display style 1 plus fraction numerator 1 over denominator begin display style 3 over 2 end style end fraction end style end fraction end style end fraction end cell equals cell fraction numerator 1 over denominator p plus begin display style fraction numerator 1 over denominator q plus 1 over r end fraction end style end fraction end cell row blank blank blank end table

Diperoleh  dan .

Hasil dari  yaitu:

Jadi, hasil dari  adalah .

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Ardiansyah Cristian

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