Fraction Calculator
Our free fraction calculator lets you add, subtract, multiply, divide, and simplify fractions instantly. Each calculation shows the result as a simplified fraction and, where applicable, as a mixed number and decimal equivalent. This makes it perfect for students, teachers, and anyone working with fractions in everyday life.
Working with fractions by hand can be time-consuming and error-prone. Our fraction calculator handles all the steps automatically — finding least common denominators, cross-multiplying, simplifying with GCD — so you can focus on understanding the concept rather than the arithmetic.
½ Fraction Calculator
How to Use the Fraction Calculator
Using the fraction calculator is simple and straightforward:
- Select the operation — add, subtract, multiply, divide, or simplify.
- Enter the numerator and denominator for the first fraction.
- For operations other than simplify, enter the numerator and denominator for the second fraction.
- Click Calculate Fraction to see the result as a simplified fraction, mixed number, and decimal.
When Should You Use a Fraction Calculator?
Use the fraction calculator for homework, cooking, construction measurements, and any situation where you need to work with fractions. In particular, it is invaluable when scaling recipes up or down (which often involves adding and dividing fractions), or when working with measurements in imperial units (inches, feet).
Furthermore, teachers can use the fraction calculator to verify student answers and generate example problems. Additionally, it is helpful for students learning fraction operations for the first time — seeing the full calculation and result helps reinforce understanding.
How to Work With Fractions
Here are the key rules for working with fractions:
- Adding/Subtracting fractions — You must first find a common denominator. The easiest method is to use the Least Common Denominator (LCD).
- Multiplying fractions — Simply multiply the numerators together and the denominators together, then simplify.
- Dividing fractions — Multiply the first fraction by the reciprocal (flip) of the second fraction.
- Simplifying fractions — Divide both the numerator and denominator by their Greatest Common Divisor (GCD).
- Mixed numbers — To add mixed numbers, convert them to improper fractions first, then add, then convert back.
Frequently Asked Questions About the Fraction Calculator
How do I add fractions with different denominators?
Find the Least Common Denominator (LCD) of both fractions. Convert each fraction to an equivalent fraction with the LCD as the denominator. Then add the numerators and keep the denominator. Finally, simplify if possible. Our calculator does all of this automatically.
What is a mixed number?
A mixed number combines a whole number and a proper fraction, such as 2½. It represents a value greater than 1. Our calculator automatically converts improper fractions (where the numerator is greater than the denominator) to mixed number form.
Related Calculators
Furthermore, you might find these related tools useful: Scientific Calculator — Percentage Calculator