The document provides step-by-step working of a complex mathematical expression using the BODMAS rules (Brackets, Orders, Division, Multiplication, Addition, Subtraction). It starts with an expression and through multiple steps of simplification according to the BODMAS order of operations, arrives at the solution of 2.

1. BODMAS
• 1 + 5 x 6 – 3 + (4 – 2)
• 1+5x6–3+2
• 1 + 30 – 3 + 2
• 31 – 3 + 2
• 28 + 2
• 30

2. BODMAS
1 1 1 7 4 3 1
2 − of 3 + 1 × − 3 ÷  × 1 
3 3 2 8 5 4 2

3. BODMAS
1 1 1 7 4 3 1
= 2 − of 3 + 1 × − 3 ÷  × 1 
3 3 2 8 5 4 2
7 1 7 15 4 3 3
= − of + × − 3 ÷  × 
3 3 2 8 5 4 2

4. BODMAS
B
7 1 7 15 4 3 3
= − of + × − 3 ÷  × 
3 3 2 8 5 4 2
7 1 7 15 4 9
= − of + × − 3 ÷
3 3 2 8 5 8

5. BODMAS
O
7 1 7 15 4 9
= − of + × − 3 ÷
3 3 2 8 5 8
7 1 7 15 4 9
= − × + × −3÷
3 3 2 8 5 8
7 7 15 4 9
= − + × −3÷
3 6 8 5 8

6. BODMAS
D
7 7 15 4 9
= − + × −3 ÷
3 6 8 5 8
7 7 15 4 8
= − + × − 3×
3 6 8 5 93
7 7 15 4 8
= − + × −
3 6 8 5 3

7. BODMAS
M
3 1
7 7 15 4 8
= − + × −
3 6 8 51 3
2
7 7 3 8
= − + −
3 6 2 3

8. BODMAS
7 7 3 − 8
= − +
3 6 2 3
= 14 − 7 + 9 − 16
6
23 − 23 = 0
=
6

9. BODMAS
7 3 ÷ 6 33 1
×3 of −
8 7 11 18 9
= 7
× 24 ÷ 6 of 33 − 1
8 7 11 18 9

10. BODMAS
O
=
7
× 24 ÷ 6 of 33 − 1
8 7 11 18 1 9
1 3
= 7
× 24 ÷ 6 × 33 − 1
8 7 11 18 3 9
1
7 24 ÷ 1 − 1 1
= ×
8 7 9

11. D
BODMAS
= 7
× 24 ÷ 1 − 1
8 7 9
= 7
× 24 × 1 − 1
8 7 9
7 24 1
= × −
8 7 9

12. BODMAS
M
1 3
7 24 1
= × −
8 71 9
1
1
= 3 −
9

13. BODMAS
1
= 3 −
9
3 ×9 − 1 27 − 1
= =
9 9
26 8
= = 2
9 9