Fraction Calculator
Calculate fractions easily with our Fraction Calculator. Enter fractions, choose an operation addition, subtraction, multiplication, or division, and get accurate results. Simplify complex fraction problems quickly for better understanding.
What is a Fraction Calculator?
A fraction calculator is a mathematical tool that performs operations on fractions including addition, subtraction, multiplication, and division. Our fractions calculator also simplifies results and converts between fractions and decimals automatically.
Whether you need to multiply fractions, convert fraction to decimal, or simplify fractions, our comprehensive calculator fractions tool handles all fraction operations with step-by-step solutions.
Fraction Operations - Add, Subtract, Multiply, Divide
Basic Fraction Operations
Addition:
1/4 + 1/4 = 2/4 = 1/2
Subtraction:
3/4 - 1/4 = 2/4 = 1/2
Multiplication:
1/2 × 2/3 = 2/6 = 1/3
Division:
1/2 ÷ 1/4 = 1/2 × 4/1 = 2
Using Our Fraction Calculator
- Enter the first fraction (numerator/denominator)
- Select the operation (+, -, ×, ÷)
- Enter the second fraction
- Click calculate for instant results
- View simplified answer and step-by-step solution
How to Multiply Fractions
Multiplying fractions is one of the easiest fraction operations. Our fraction multiplication calculator follows this simple rule:
Fraction Multiplication Rule
To multiply fractions: multiply numerators together and denominators together.
a/b × c/d = (a × c)/(b × d)
Example 1:
2/3 × 1/4 = 2/12 = 1/6
Example 2:
3/4 × 2/5 = 6/20 = 3/10
Example 3:
1/2 × 1/3 = 1/6
Fraction to Decimal and Decimal to Fraction Conversion
Fraction to Decimal
To convert fraction to decimal, divide the numerator by the denominator.
1/2 as a decimal: 1 ÷ 2 = 0.5
3/4 as a decimal: 3 ÷ 4 = 0.75
2/3 as a decimal: 2 ÷ 3 = 0.667...
1/4 as a decimal: 1 ÷ 4 = 0.25
Decimal to Fraction
Our decimal to fraction calculator converts decimals to their simplest fraction form.
0.5 as a fraction: 1/2
0.75 as a fraction: 3/4
0.25 as a fraction: 1/4
0.125 as a fraction: 1/8
Common Fractions and Decimal Equivalents
Use this chart to quickly reference common fractions and their decimal equivalents:
| Fraction | Decimal | Percentage | Simplified |
|---|---|---|---|
| 1/2 | 0.5 | 50% | Already simplified |
| 1/3 | 0.333... | 33.33% | Already simplified |
| 1/4 | 0.25 | 25% | Already simplified |
| 2/3 | 0.667... | 66.67% | Already simplified |
| 3/4 | 0.75 | 75% | Already simplified |
| 1/6 | 0.167... | 16.67% | Already simplified |
| 5/6 | 0.833... | 83.33% | Already simplified |
| 1/8 | 0.125 | 12.5% | Already simplified |
How to Simplify Fractions
Simplify fractions by reducing them to their lowest terms. Our fraction simplifier automatically finds the greatest common divisor (GCD) and reduces fractions to their simplest form.
Simplification Steps
- Find the GCD of numerator and denominator
- Divide both numerator and denominator by GCD
- The result is the simplified fraction
Simplification Examples
6/8: GCD = 2, so 6/8 = 3/4
10/15: GCD = 5, so 10/15 = 2/3
12/16: GCD = 4, so 12/16 = 3/4
9/12: GCD = 3, so 9/12 = 3/4
Mixed Numbers Calculator
A mixed number combines a whole number with a proper fraction, like 2 1/2(two and one-half). Our mixed numbers calculator can convert between mixed numbers and improper fractions.
Mixed to Improper
Convert mixed numbers like 1 1/2 to improper fractions:
1 1/2 = (1×2 + 1)/2 = 3/2
2 1/4 = (2×4 + 1)/4 = 9/4
3 1/2 = (3×2 + 1)/2 = 7/2
Improper to Mixed
Convert improper fractions to mixed numbers:
5/3 = 1 2/3
7/4 = 1 3/4
11/5 = 2 1/5
Advanced Fraction Calculator Features
Auto Simplification
Our fraction calculator automatically simplifies results to their lowest terms, saving you time and ensuring accuracy.
Step-by-Step Solutions
See detailed steps for each calculation to understand the process and learn fraction operations effectively.
Multiple Input Formats
Enter fractions as decimals, mixed numbers, or proper fractions. Our calculator handles all formats seamlessly.