BODMAS Simplify Calculator

Paste any expression and watch it simplify step-by-step using BODMAS rules.

Expression Simplifier

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How BODMAS Simplify Calculator Works

BODMAS Simplify Calculator works by reducing complex mathematical expressions to their simplest form using the BODMAS order of operations in a step-by-step process.

Enter any expression with brackets, exponents, and arithmetic operators. The calculator processes each operation in BODMAS priority order and displays every intermediate step.

BODMAS Simplify Calculator handles nested brackets, mixed operations, and decimal values. The calculator reduces fractions to lowest terms and combines like terms.

Simplification Example
✓ Simplified
(4 + 2) × 3² − 18/6
1. Bracket: 4+2 = 6
2. Exponent: 3² = 9
3. Multiply: 6×9 = 54
4. Divide: 18/6 = 3
5. Subtract: 54−3 = 51
= 51 ✓

BODMAS Simplify Formula

The BODMAS Simplify formula follows 3 core principles — resolve brackets first, apply operator precedence, and reduce to a single value.

Simplification Rules
🔲
Resolve Brackets
Start with the innermost brackets and work outward
📊
Apply Precedence
Exponents → Division/Multiplication → Addition/Subtraction
↔️
Left-to-Right
Equal-priority operators are processed left to right
✂️
Reduce
Combine like terms and simplify fractions to lowest form

Treat division and multiplication as equal priority. Treat addition and subtraction as equal priority. Process operators at the same level from left to right.

BODMAS Simplify Conversions Chart

The BODMAS Simplify conversions chart shows 8 expression patterns before and after simplification with the BODMAS rule applied.

Simplification Patterns
ExpressionStep 1Step 2Simplified
2 + 3 × 43×4 = 122+1214
(5+3) × 25+3 = 88×216
12 / 3 + 2²3²=9, 12/3=44+48
10 − 4 / 24/2 = 210−28
(2+3)²2+3 = 55²25
6 × (4−1) / 34−1 = 36×3/36
2³ + 4 × 22³ = 88 + 816
100 / (5 × 4)5×4 = 20100/205

Simplification FAQ

Common questions on simplifying expressions.

Simplifying means resolving an expression step-by-step to its single numeric value following BODMAS priority.
It parses your expression, identifies operators by BODMAS hierarchy, and processes them one step at a time.
Yes. The innermost brackets are solved first, working outwards.
It reduces complexity, ensures accuracy, and prevents errors in school math, engineering, or programming.