Calculator with Negative Numbers and Fractions
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Reviewed by Calculator Editorial Team
This calculator handles arithmetic operations with negative numbers and fractions, providing clear results and explanations. Whether you're solving equations, working with measurements, or analyzing data, this tool ensures accurate calculations with fractions and negative values.
How to Use This Calculator
Enter the numbers you want to calculate with, select the operation, and click "Calculate". The calculator will handle negative numbers and fractions properly, showing you the result in both fraction and decimal forms.
Tip: For mixed numbers, enter them as improper fractions (e.g., 1 1/2 becomes 3/2).
Step-by-Step Guide
- Enter the first number in the "First Number" field.
- Select the operation (+, -, ×, ÷).
- Enter the second number in the "Second Number" field.
- Click "Calculate" to see the result.
- Use "Reset" to clear all fields.
Formulas Used
The calculator uses standard arithmetic operations with fractions. Here are the formulas applied:
Addition: a + b = (a × denominator of b + b × denominator of a) / (denominator of a × denominator of b)
Subtraction: a - b = (a × denominator of b - b × denominator of a) / (denominator of a × denominator of b)
Multiplication: a × b = (numerator of a × numerator of b) / (denominator of a × denominator of b)
Division: a ÷ b = (numerator of a × denominator of b) / (denominator of a × numerator of b)
All results are simplified to their lowest terms.
Worked Examples
Here are some examples of calculations with negative numbers and fractions:
| First Number | Operation | Second Number | Result |
|---|---|---|---|
| -3/4 | + | 1/2 | -1/8 |
| 5/6 | - | -2/3 | 1/2 |
| -1/4 | × | 3/5 | -3/20 |
| 2/3 | ÷ | -1/6 | -4 |
These examples demonstrate how the calculator handles negative numbers and fractions in different operations.
Frequently Asked Questions
- Can this calculator handle mixed numbers?
- Yes, convert mixed numbers to improper fractions before entering them (e.g., 1 1/2 becomes 3/2).
- How are results simplified?
- Results are automatically simplified to their lowest terms using the greatest common divisor (GCD).
- What if I enter a zero denominator?
- The calculator will show an error message since division by zero is undefined.
- Can I use decimal inputs?
- Yes, decimals are converted to fractions for calculation (e.g., 0.5 becomes 1/2).