Fraction Calculator
Add, subtract, multiply and divide fractions — with automatic simplification.
TL;DR — Fraction Calculator: A fraction calculator performs arithmetic on fractions and returns a simplified result (lowest terms). Cal44 accepts proper, improper and mixed fractions, returns answers as both improper fractions and mixed numbers, and shows the GCD used for simplification.
What is the Fraction Calculator?
A fraction calculator performs arithmetic on fractions and returns a simplified result (lowest terms). Cal44 accepts proper, improper and mixed fractions, returns answers as both improper fractions and mixed numbers, and shows the GCD used for simplification.
How to use the Fraction Calculator
- Enter the numerator and denominator of the first fraction.
- Choose the operation (+, −, ×, ÷).
- Enter the numerator and denominator of the second fraction.
- Read the simplified result.
Formula
a/b + c/d = (a·d + b·c) ÷ (b·d) — then divide both numerator and denominator by their greatest common divisor (GCD)
Multiplication: (a/b) × (c/d) = (a·c) ÷ (b·d). Division: (a/b) ÷ (c/d) = (a·d) ÷ (b·c).
Worked example
2/3 + 1/4 = (2·4 + 3·1) ÷ (3·4) = 11/12. 3/4 × 8/9 = 24/36 = 2/3 after dividing by GCD 12.
Frequently asked questions
How do I add fractions with different denominators?
Find a common denominator (the product of the two denominators always works), convert each fraction, then add the numerators. Simplify at the end.
What does "simplify" mean?
Reduce both numerator and denominator by their greatest common divisor so the fraction is in its lowest terms. 24/36 simplifies to 2/3.
Can the calculator handle mixed numbers?
Yes — enter them as improper fractions (e.g. 2½ = 5/2). The result is shown both as an improper fraction and a mixed number.
How do I convert a fraction to a decimal?
Divide the numerator by the denominator. 5/8 = 0.625.
Can I divide by zero?
No — division by zero is undefined. Cal44 will show an error if the divisor is zero.