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Bab Bilangan Pecahan
Matematika SMP Kelas VII

30/43 
= 1/(43/30)
= 1/((30/30) + (13/30))
= 1/(1 + 13/30)
= 1/(1 + (1 / (30/13)))
= 1/(1 + (1 + (26/13 + 4/13)
= 1/(1 + (1 + (2 + 4/13)))
= 1/(1 + (1 + (2 + (1/(13/4))))
= 1/(1 + (1 + (2 + (1/(12/4 + 1/4)))))
= 1/(1 + (1 + (2 + (1/(3 + 1/4)))))

a = 1
b = 2
c = 3
d = 4

a + b + c + d = 1 + 2 + 3 + 4
a + b + c + d = 10

jawabannya B

[tex]\displaystyle \frac{30}{43}=\frac{1}{\frac{43}{30}}\\\frac{30}{43}=\frac{1}{1+\frac{13}{30}}\\\frac{30}{43}=\frac{1}{1+\frac{1}{\frac{30}{13}}}\\\frac{30}{43}=\frac{1}{1+\frac{1}{2+\frac{4}{13}}}\\\frac{30}{43}=\frac{1}{1+\frac{1}{2+\frac{1}{\frac{13}4}}}\\\frac{30}{43}=\frac{1}{1+\frac{1}{2+\frac{1}{3+\frac{1}4}}}\\\\\therefore\\ a=1\\b=2\\c=3\\d=4\\\\a+b+c+d=1+2+3+4\\\boxed{\boxed{a+b+c+d=10}}[/tex]