Simplification is the process of reducing a mathematical expression to its simplest or most compact form using arithmetic rules. It involves applying operations like BODMAS, fractions, decimals, percentages, roots, and basic algebraic manipulation. The goal is to remove complexity and get a direct numerical value.
Operations must always be performed in this order.
⭐ 5 Solved Examples of Simplification (With Explanation)
Apply BODMAS:
Brackets: 45 − 20 = 25
Division: 25 ÷ 5 = 5
Addition: 5 + 6 = 11
Division: 72 ÷ 6 = 12
Multiplication: 12 × 5 = 60
Subtraction: 60 − 8 = 52
📝Explanation:
12 ÷ 3 = 4
18 + 4 = 22
📝 Description:
Multiplication first → 5×6 = 30
40 − 30 = 10
📝 Description:
45 ÷ 9 = 5
5 + 8 = 13
📝 Description:
Bracket first → 9 + 7 = 16
80 − 16 = 64
📝 Description:
Bracket first → 5 + 6 = 11
2 × 11 = 22
📝 Description:
100 ÷ 4 = 25
25 × 2 = 50
.
📝 Description:
36 ÷ 6 = 6
45 ÷ 5 = 9
6 + 9 = 15
📝 Description:
9 × 4 = 36
36 − 5 = 31
📝 Description:
Same denominator:
(3+2)/5 = 5/5 = 1
📝 Description: Add decimals directly → 12.5 + 7.25 = 19.75
📝 Description:
8² = 64
64 ÷ 4 = 16
📝 Description:
50% = 1/2
1/2 × 40 = 20
📝 Description:
√81 = 9
9 + 7 = 16
📝 Description:
4³ = 64
2² = 4
64 − 4 = 60
📝 Description:
45 ÷ 5 = 9
12 ÷ 3 = 4
9 × 4 = 36
📝 Description:
LCM of 3,6,2 = 6
1/3 = 2/6
1/6 = 1/6
1/2 = 3/6
Total = 6/6 = 1
📝 Description:
4 × 3 = 12
120 ÷ 12 = 10
📝 Description:
Division of fractions = multiply by reciprocal
5/8 × 4/1 = 20/8 = 2.5
📝 Description:
75 × 2 = 150
Place 3 decimal digits → 0.150 = 0.15
📝 Description:
LCM of 3,12,4 = 12
2/3 = 8/12
5/12 = 5/12
1/4 = 3/12
Total = (8+5−3)/12 = 10/12 = 5/6 → Option C
Correction:
Final simplified value is 5/6, not 7/12.
Correct Answer: C
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