Fraction Calculator
Calculate fractions — add, subtract, multiply and divide fractions with step-by-step solutions.
What Is a Fraction Calculator?
A fraction calculator is a tool that lets you perform arithmetic operations — addition, subtraction,
multiplication, and division — on two fractions. Instead of doing the math by hand (finding common
denominators, simplifying, etc.), this calculator handles every step automatically and shows you
exactly how the answer was reached. Results are displayed as a simplified fraction, a mixed number
(when applicable), and a decimal equivalent.
How to Use This Fraction Calculator
Enter the numerator and denominator for each fraction in the input boxes. Select your desired
operation — add (+), subtract (−), multiply (×), or divide (÷) — by clicking the operation buttons.
Then click Calculate to see the result and a full step-by-step breakdown. The
working shows you how to find the Least Common Denominator (LCD) for addition and subtraction,
how fractions are converted, how the operation is applied, and how the result is simplified using
the Greatest Common Divisor (GCD).
Common Use Cases for Fraction Arithmetic
Fraction calculations appear in everyday life more often than you might think. Cooking and baking
often require scaling recipes — combining ½ cup and ⅓ cup of an ingredient, for example. Carpentry
and DIY projects involve measuring and splitting lengths expressed as fractions of an inch.
Students studying pre-algebra, algebra, and calculus regularly work with fractions. Financial
calculations, probability problems, and unit conversions all benefit from quick, accurate fraction
arithmetic with clear step-by-step explanations.
Frequently Asked Questions
How do you add fractions with different denominators?
To add fractions with different denominators, first find the Least Common Denominator (LCD) —
the smallest number both denominators divide into evenly. Convert each fraction so it has the
LCD as its denominator, then add the numerators and keep the denominator. Finally, simplify
the result by dividing numerator and denominator by their Greatest Common Divisor (GCD).
How do you multiply fractions?
Multiplying fractions is straightforward: multiply the two numerators together to get the new
numerator, and multiply the two denominators together to get the new denominator. Then simplify
the resulting fraction. No common denominator is needed for multiplication.
How do you divide fractions?
To divide one fraction by another, multiply the first fraction by the reciprocal (flip) of the
second fraction. In other words, swap the numerator and denominator of the second fraction, then
multiply as normal. Simplify the result.
What is a simplified fraction?
A fraction is fully simplified (or in lowest terms) when the numerator and denominator share no
common factor other than 1. To simplify, divide both the numerator and denominator by their
Greatest Common Divisor (GCD). For example, 4/8 simplifies to 1/2 because GCD(4,8) = 4.
What is a mixed number?
A mixed number combines a whole number and a proper fraction — for example, 1 ½ (one and a
half). When a fraction’s numerator is larger than its denominator (an improper fraction), it
can be expressed as a mixed number by dividing the numerator by the denominator. The quotient
is the whole part and the remainder over the denominator is the fractional part.
Can I enter negative fractions or whole numbers?
Yes! You can enter negative values in the numerator to represent negative fractions (e.g., −3/4).
To enter a whole number like 3, simply put 3 as the numerator and 1 as the denominator. The
calculator handles all these cases and will correctly display negative results.