Question

Nilai dari 1-1/3(1-1/2(1-1/6))
A. 29/36
B. 30/36
C. 31/36
D. 34/36

Answer 1

1 - 1/3 { 1 - 1/2 { 1 - 1/6 }}
1 - 1/3 { 1 - 1/2 { 6/6 - 1/6 }}
1 - 1/3 { 1 - 1/2 { 5/6 }
1 - 1/3 { 1/1 - 1/2 × 5/6
1 - 1/3 { 1/1 - 5/12 }
1 - 1/3 { 12/12 - 5/12 }
1 - 1/3 { 7/12 }
1/1 - 1/3 × 7/12
1/1 - 7/36
36/36 - 7/36
= 29/36