Step-by-Step Percentages Solver
Percentage Calculations
Solve various percentage problems step-by-step.
This solver can interpret different types of percentage questions:
- Convert Decimal to Percentage (e.g., `0.75`)
- Convert Percentage to Decimal (e.g., `75%`)
- Percentage of a Quantity (e.g., `20% of 150`)
- Quantity as a Percentage (e.g., `50 as % of 200` or `what percent is 50 of 200`)
- Percentage Change (e.g., `change 100 to 120` or `percentage change 80 to 60`)
- Percentage Error (e.g., `error actual 100 observed 95` or `percentage error 10 12`)
Step-by-step Solution (Percentages):
Relevant Tools
To further enhance your learning and problem-solving skills, explore these additional resources
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PEMDAS Expression Solver
Understanding Order of Operations: PEMDAS/BODMAS
When you see a math problem with multiple operations, it's important to solve it in the correct order. PEMDAS (or BODMAS) helps remember this order:
- Parentheses (or Brackets)
- Exponents (or Orders/Indices)
- Multiplication and Division (left to right)
- Addition and Subtraction (left to right)
Step-by-step Solution:
LCM and HCF Calculator
Understanding LCM and HCF
Highest Common Factor (HCF / GCD): The largest positive integer that divides each of the integers without a remainder. Example: $HCF(12, 18) = 6$.
Least Common Multiple (LCM): The smallest positive integer that is a multiple of all the integers. Example: $LCM(4, 6) = 12$. It can be found using $ LCM(a, b) = \frac{|a \times b|}{HCF(a, b)} $.
HCF (Highest Common Factor) Steps:
LCM (Least Common Multiple) Steps:
Basic Arithmetic (HTU Method)
Understanding HTU (Column Method)
The HTU (Hundreds, Tens, Units) method, or column method, visually organizes numbers for basic operations, emphasizing place value and regrouping (carrying/borrowing).
- Addition: Align numbers by place value. Add columns from right, carrying sums $\ge 10$.
- Subtraction: Align numbers. Subtract columns from right, borrowing if a top digit is smaller.
- Multiplication (Long): Multiply by each digit of the multiplier, creating shifted partial products. Sum these products.
