Fraction Calculator with Whole Numbers and Negative
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Reviewed by Calculator Editorial Team
This fraction calculator handles operations with whole numbers and negative values. It performs addition, subtraction, multiplication, and division of fractions, including mixed numbers and improper fractions.
How to Use This Calculator
To use the fraction calculator:
- Enter the first fraction or whole number in the first input field
- Select the operation (addition, subtraction, multiplication, or division)
- Enter the second fraction or whole number in the second input field
- Click "Calculate" to see the result
- Use "Reset" to clear all inputs
The calculator will display the result in its simplest form and show the calculation steps.
Formula Used
The calculator uses these formulas for fraction operations:
Addition of Fractions
a/b + c/d = (a×d + b×c)/(b×d)
Subtraction of Fractions
a/b - c/d = (a×d - b×c)/(b×d)
Multiplication of Fractions
a/b × c/d = (a×c)/(b×d)
Division of Fractions
a/b ÷ c/d = (a×d)/(b×c)
All results are simplified to their lowest terms and converted to mixed numbers when appropriate.
Worked Examples
Example 1: Adding Fractions
Calculate 1/4 + 1/2:
- Find a common denominator: 4
- Convert fractions: 1/4 + 2/4 = 3/4
- Result: 3/4
Example 2: Subtracting Fractions
Calculate 3/5 - 1/10:
- Find a common denominator: 10
- Convert fractions: 6/10 - 1/10 = 5/10
- Simplify: 1/2
- Result: 1/2
Example 3: Multiplying Fractions
Calculate 2/3 × 4/5:
- Multiply numerators: 2 × 4 = 8
- Multiply denominators: 3 × 5 = 15
- Result: 8/15
Example 4: Dividing Fractions
Calculate 5/6 ÷ 2/3:
- Invert the second fraction: 5/6 ÷ 3/2
- Multiply: (5×2)/(6×3) = 10/18
- Simplify: 5/9
- Result: 5/9
Frequently Asked Questions
Can this calculator handle mixed numbers?
Yes, you can enter mixed numbers in the format "1 1/2" for one and a half.
How does the calculator simplify fractions?
The calculator finds the greatest common divisor (GCD) of the numerator and denominator and divides both by the GCD to simplify the fraction.
Can I perform operations with negative fractions?
Yes, the calculator handles negative values correctly for all operations.
What if I enter a whole number instead of a fraction?
The calculator will treat the whole number as a fraction with denominator 1 (e.g., 5 becomes 5/1).