Fraction Calculator
Add, subtract, multiply, and divide fractions with step-by-step solutions
Fraction Operations
Result (Simplified)
5 / 6
= 0.833333
(1/2) + (1/3) = (1×3 + 1×2)/(2×3) = 5/6
About This Calculator
Fraction Calculator
A fraction calculator helps you perform arithmetic operations on fractions: addition, subtraction, multiplication, and division. It also simplifies fractions to their lowest terms and converts them to decimal form.
Common Uses:
- Solving math homework problems
- Calculating measurements in recipes
- Working with ratios and proportions
- Simplifying complex fractions
Formula & Calculation Method
Fraction Operations
Addition:
a/b + c/d = (ad + bc) / bd
Subtraction:
a/b - c/d = (ad - bc) / bd
Multiplication:
a/b × c/d = ac / bd
Division:
a/b ÷ c/d = ad / bc
How to Use This Calculator
How to Use the Fraction Calculator
- Select Operation: Choose addition, subtraction, multiplication, or division.
- Enter First Fraction: Input numerator and denominator for the first fraction.
- Enter Second Fraction: Input numerator and denominator for the second fraction.
- View Result: The calculator will show the result in simplified fraction form and decimal form.
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, find a common denominator (usually by multiplying the denominators), convert each fraction, then add the numerators. For example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6.
How do you multiply fractions?
To multiply fractions, multiply the numerators together and multiply the denominators together. For example: 2/3 × 3/4 = 6/12 = 1/2 (simplified).
How do you divide fractions?
To divide fractions, multiply the first fraction by the reciprocal (flipped version) of the second fraction. For example: 1/2 ÷ 3/4 = 1/2 × 4/3 = 4/6 = 2/3.
What does it mean to simplify a fraction?
Simplifying a fraction means reducing it to its lowest terms by dividing both the numerator and denominator by their greatest common divisor (GCD). For example, 6/8 simplified is 3/4.
Expert Reviewed
This calculator was reviewed by NumCalculators Editorial Team, Multi-disciplinary Expert Team