Pertanyaan

Hitunglah 7 ! 1 − 8 ! 2 + 9 ! 3 .

Hitunglah $\frac{1}{7 !} - \frac{2}{8 !} + \frac{3}{9 !}$ .

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Jawaban terverifikasi

Jawaban

$fraction numerator 1 over denominator 7 factorial end fraction minus fraction numerator 2 over denominator 8 factorial end fraction plus fraction numerator 3 over denominator 9 factorial end fraction equals fraction numerator 57 over denominator 9 factorial end fraction$

Pembahasan

Dengan demikian,

$fraction numerator size 14px 1 over denominator size 14px 7 size 14px factorial end fraction size 14px minus fraction numerator size 14px 2 over denominator size 14px 8 size 14px factorial end fraction size 14px plus fraction numerator size 14px 3 over denominator size 14px 9 size 14px factorial end fraction size 14px equals fraction numerator size 14px 1 over denominator size 14px 7 size 14px factorial end fraction size 14px minus fraction numerator size 14px 2 over denominator size 14px 8 size 14px cross times size 14px 7 size 14px factorial end fraction size 14px plus fraction numerator size 14px 3 over denominator size 14px 9 size 14px cross times size 14px 8 size 14px cross times size 14px 7 size 14px factorial end fraction size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals fraction numerator size 14px 1 begin mathsize 14px style left parenthesis 9 cross times 8 right parenthesis end style size 14px minus size 14px 2 begin mathsize 14px style left parenthesis 9 right parenthesis end style size 14px plus size 14px 3 over denominator size 14px 9 size 14px cross times size 14px 8 size 14px cross times size 14px 7 size 14px factorial end fraction size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals fraction numerator size 14px 72 size 14px minus size 14px 18 size 14px plus size 14px 3 over denominator size 14px 9 size 14px factorial end fraction size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px space size 14px equals fraction numerator size 14px 57 over denominator size 14px 9 size 14px factorial end fraction$

Dengan demikian, $fraction numerator 1 over denominator 7 factorial end fraction minus fraction numerator 2 over denominator 8 factorial end fraction plus fraction numerator 3 over denominator 9 factorial end fraction equals fraction numerator 57 over denominator 9 factorial end fraction$