How to Use the Fraction Calculator
Our fraction calculator performs all basic fraction operations: addition, subtraction, multiplication, and division. It automatically simplifies results and can convert between fractions and decimals.
Fraction Operations
Enter two fractions using the numerator and denominator fields, select an operation, and the calculator shows the result in its simplest form along with the decimal equivalent.
Fraction Formulas
Addition: a/b + c/d
Formula: (a×d + c×b) / (b×d), then simplify
Example: 1/4 + 2/3 = (1×3 + 2×4) / (4×3) = (3 + 8) / 12 = 11/12
Subtraction: a/b - c/d
Formula: (a×d - c×b) / (b×d), then simplify
Example: 3/4 - 1/3 = (3×3 - 1×4) / (4×3) = (9 - 4) / 12 = 5/12
Multiplication: a/b × c/d
Formula: (a×c) / (b×d), then simplify
Example: 2/3 × 3/5 = 6/15 = 2/5
Division: a/b ÷ c/d
Formula: (a×d) / (b×c), then simplify (multiply by reciprocal)
Example: 1/2 ÷ 2/3 = 1/2 × 3/2 = 3/4
Understanding Fractions
A fraction represents a part of a whole. The top number (numerator) tells you how many parts you have, and the bottom number (denominator) tells you how many equal parts make up the whole.
Types of Fractions
- Proper fraction: Numerator is less than denominator (e.g., 3/4)
- Improper fraction: Numerator is greater than or equal to denominator (e.g., 5/3)
- Mixed number: A whole number and a fraction (e.g., 1 2/3)
Converting Between Fractions and Decimals
To convert a fraction to a decimal, divide the numerator by the denominator. For example, 3/4 = 3 ÷ 4 = 0.75.
To convert a decimal to a fraction, write the decimal over its place value and simplify. For example, 0.75 = 75/100 = 3/4.