Enter two fractions
Each fraction has a numerator on top and denominator on the bottom. The denominator cannot be zero because division by zero is undefined.
Fractions Calculator
Perform addition, subtraction, multiplication, and division on fractions.
top
bottom
top
bottom
Fraction resultโ
| Simplified result | โ |
| Improper fraction | โ |
| Mixed number | โ |
| Decimal value | โ |
First fractionโ
Second fractionโ
Operationโ
Common denominatorโ
Denominators cannot be zero. The calculator simplifies the final answer automatically.
How it works
Work with fractions clearly
This Fractions Calculator performs addition, subtraction, multiplication, and division using two fractions. It simplifies the result automatically and also shows decimal and mixed-number forms.
The calculator is useful for homework, recipe adjustments, construction measurements, classroom examples, and quick checks when working with fractional values.
Choose an operation
Select addition, subtraction, multiplication, or division. The calculator applies the correct fraction rule for that operation and then simplifies the final answer.
Simplify automatically
The result is reduced to lowest terms using the greatest common divisor. This means answers like 4/8 are automatically shown as 1/2.
Compare result formats
The calculator displays the simplified fraction, improper fraction, mixed number, and decimal value so the answer can be used in different contexts.
Frequently asked questions
To add fractions, convert both fractions to a common denominator, add the numerators,
and keep the common denominator. Then simplify the result. For example, 1/2 + 1/3 becomes 3/6 + 2/6 = 5/6.
Subtraction also requires a common denominator. Convert both fractions, subtract the
second numerator from the first, and simplify. Negative answers are possible when the second fraction is
larger.
Multiply the numerators together and multiply the denominators together. Then
simplify. For example, 2/3 ร 3/4 becomes 6/12, which simplifies to 1/2.
To divide fractions, multiply the first fraction by the reciprocal of the second
fraction. The reciprocal swaps the numerator and denominator. For example, 1/2 รท 1/4 becomes 1/2 ร 4/1 = 2.
An improper fraction has a numerator greater than or equal to the denominator, such
as 7/4. It can also be written as a mixed number, such as 1 3/4.
A denominator represents the number of equal parts in a whole. Zero equal parts is
not meaningful, and mathematically division by zero is undefined. The calculator blocks zero denominators
for this reason.