Greatest Common Divisor (GCD): Definition, Examples, and Calculator

Simplification Calculator (PEMDAS/BODMAS):

Use the operators for addition (+), subtraction (-), multiplication (*), division (/), power (**) and factorial (!). Enter expression:

Enter expression:

Simplification Calculator Using PEMDAS/BODMAS

The Simplification Calculator is a user-friendly tool that helps you solve mathematical expressions by following the proper order of operations. Whether you're a student, teacher, or just someone who wants to verify a result quickly, this calculator simplifies complex expressions accurately and efficiently.

What is PEMDAS/BODMAS?

PEMDAS and BODMAS are acronyms that represent the order in which operations should be performed in a mathematical expression.

PEMDAS: Parentheses, Exponents, Multiplication, Division, Addition, Subtraction
BODMAS: Brackets, Orders (i.e., powers and roots), Division, Multiplication, Addition, Subtraction

These rules ensure consistency and accuracy when solving problems, especially those involving multiple types of operations.

Why Use This Calculator?

Performing simplification by hand can lead to errors, especially when expressions involve nested brackets or implicit multiplication. This calculator automates that process and handles:

Different types of brackets: (), {}, []
Implicit multiplication (e.g., 2(3+4) becomes 2×(3+4))
Floating-point numbers
Proper error messaging for invalid or unbalanced expressions

How It Works

You enter your mathematical expression into the input box and click the "Calculate" button. The script:

Checks for balanced brackets and valid characters
Handles implicit multiplication
Evaluates the expression using safe JavaScript logic
Displays the result rounded to 4 decimal places

Example Expressions

5 + 3 * (2 + 1) → Result: 14
6 + {(2 + 1)2} - 3 → Result: 9
7 * [2 + (3 - 1)] → Result: 28
3**2 + 4**2 → Result: 25

Limitations

This calculator is built to handle both basic and moderately complex expressions. While it can handle up to 200 characters and nested brackets, it does not support variables, functions, or symbolic algebra. The calculator allows exponentiation using ** only, not ^.

Best Practices

Only numbers and the following operators are allowed: +, -, *, /, **
Close all brackets properly
Use parentheses for clarity when nesting operations
Avoid adding spaces or symbols that are not needed.

This calculator is a great tool for anyone who wants a quick and reliable way to solve arithmetic expressions. It helps reinforce correct order of operations and provides a helpful aid in checking homework, performing financial calculations, or simply testing math logic.