Fraction Calculator
Add, subtract, multiply, and divide fractions. Simplify fractions, convert to decimals and mixed numbers. Shows step-by-step working.
Simplify a Fraction
About this calculator
Add, subtract, multiply or divide two fractions and see the result as a simplified fraction, a mixed number and a decimal, with the working shown step by step. A separate block simplifies any fraction to lowest terms.
Use it to check homework, scale a recipe, work out a carpentry measurement or combine shares. The steps show the common denominator, so you can follow the method rather than only copy the answer.
How to use it
- Enter the first numerator and denominator.
- Choose the operation: + − × ÷.
- Enter the second fraction and press =.
- To simplify, enter a fraction in the lower block and press Simplify.
Rules
a/b + c/d = (ad + bc) ÷ bd, a/b − c/d = (ad − bc) ÷ bd, a/b × c/d = ac ÷ bd and a/b ÷ c/d = ad ÷ bc. Simplify by dividing numerator and denominator by their greatest common divisor.
Worked example
3/4 + 2/3
| Common denominator | 12 |
| Sum | 9/12 + 8/12 = 17/12 |
| Mixed number | 1 5/12 |
| Decimal | 1.416667 |
Simplifying 24/36: both divide by 12, giving 2/3 (0.6667).
Tips and common mistakes
- Always simplify at the end; do not skip the check.
- To divide by a fraction, multiply by its reciprocal.
- A denominator can never be zero.
- Convert mixed numbers to improper fractions before multiplying.
- The decimal of a fraction like 1/3 repeats forever, so the tool shows a rounded value.
Frequently asked questions
How do I add fractions with different denominators?
Find a common denominator, convert both fractions and add the numerators.
How do I simplify a fraction?
Divide the top and bottom by their greatest common divisor.
How do I divide fractions?
Multiply by the reciprocal of the second fraction.
What is a mixed number?
A whole number plus a proper fraction, such as 1 5/12.
What is an improper fraction?
One whose numerator is larger than the denominator.
Can the calculator handle negative fractions?
Yes, enter a negative numerator.