Fraction Calculator
Enter fractions and select operation to calculate.
=
?
?
Calculation Results
Result
Exact fraction
1
2
Decimal
0.5
Percentage
50%
Mixed Number
If applicable
-
Step-by-Step Solution
Common Fractions
Complete Guide to Fraction Calculations
Fractions represent parts of a whole and are essential in mathematics, cooking, construction, and many other fields. Understanding how to calculate with fractions is a fundamental math skill.
Basic Fraction Operations
Addition
a
b
+
c
d
=
ad + bc
bd
Find common denominator, add numerators
Multiplication
a
b
×
c
d
=
a × c
b × d
Multiply numerators and denominators
Division
a
b
÷
c
d
=
a × d
b × c
Multiply by reciprocal (flip second fraction)
Simplifying Fractions
To simplify a fraction, divide both numerator and denominator by their greatest common factor (GCF).
Example: Simplify ⁸⁄₁₂
1. Find GCF of 8 and 12: 4
2. Divide numerator and denominator by 4: 8÷4 = 2, 12÷4 = 3
3. Simplified fraction: ⅔
Converting Between Forms
| Fraction | Decimal | Percentage | Mixed Number |
|---|---|---|---|
| ³⁄₂ | 1.5 | 150% | 1½ |
| ⁵⁄₄ | 1.25 | 125% | 1¼ |
| ⁷⁄₄ | 1.75 | 175% | 1¾ |
| ¹¹⁄₈ | 1.375 | 137.5% | 1⅜ |
Frequently Asked Questions
How do you add fractions with different denominators?
Find the least common denominator (LCD), convert both fractions to equivalent fractions with the LCD, then add the numerators.
What is a mixed number?
A mixed number combines a whole number and a fraction, like 2½. To convert to improper fraction: multiply whole by denominator, add numerator.