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Fraction Calculator

Perform arithmetic operations on fractions with step-by-step solutions.

Results

Addition Result23/20
Subtraction Result7/20
Multiplication Result3/10
Division Result15/8
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What is Fraction?

A fraction represents a part of a whole. It consists of a numerator (top number) and denominator (bottom number). This calculator performs all four arithmetic operations on two fractions and simplifies the result.

Fractions are fundamental in mathematics, cooking, construction, and everyday measurements.

Formula

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

All results are simplified using GCD.

How to use this Fraction Calculator?

1. Enter numerator and denominator for the first fraction. 2. Enter numerator and denominator for the second fraction. 3. See results for all four operations, automatically simplified.

Frequently asked questions

How to add fractions with different denominators?
Find a common denominator (multiply both denominators), adjust numerators, then add. Example: 1/3 + 1/4 = 4/12 + 3/12 = 7/12.
How to simplify a fraction?
Divide both numerator and denominator by their GCD (Greatest Common Divisor). Example: 8/12 → divide by 4 → 2/3.
How to convert fraction to decimal?
Divide the numerator by the denominator. Example: 3/4 = 0.75. Some fractions give repeating decimals: 1/3 = 0.333...
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