Mixed number addition
Sample input
First fraction: 2 1/3 Second fraction: 1 1/6 Operation: Add
Sample result
- Simplified improper fraction: 7/2
- Mixed number: 3 1/2
- Decimal: 3.5
Fraction Calculator
Add, subtract, multiply, divide, simplify, and convert fractions with mixed numbers and decimals.
Calculatorsavailable
Add, Subtract, Multiply, and Divide Fractions
Add, subtract, multiply, or divide two fractions, including mixed numbers.
Operator
Current operation: Add
Result
Enter a numerator and denominator for the first fraction.
Simplify Fraction
Reduce a single fraction or mixed number to its simplest form.
Result
Enter a numerator and denominator for the fraction.
Fraction to Decimal
Convert a fraction or mixed number into a decimal value.
Decimal value
Enter a numerator and denominator for the fraction.
Decimal to Fraction
Convert a decimal number into a simplified fraction and mixed number.
Result
Enter a decimal number to convert.
About Fraction Calculator
Use the Fraction Calculator to work with proper fractions, improper fractions, mixed numbers, and decimals. Add, subtract, multiply, divide, simplify, convert fractions to decimals, or turn decimals into simplified fractions without doing every step by hand.
How to use
- Choose the section that matches your task: fraction operations, simplify, fraction to decimal, or decimal to fraction.
- Enter a whole number when you have a mixed number, or leave it blank when the fraction has no whole part.
- Enter the numerator and denominator for each fraction. The denominator cannot be 0.
- Choose Add, Subtract, Multiply, or Divide when comparing two fractions.
- Review the live simplified fraction, mixed number, and decimal results, then copy the result if needed.
Worked example
Features
- Adds, subtracts, multiplies, and divides two fractions.
- Supports proper fractions, improper fractions, and mixed numbers.
- Simplifies fractions using the greatest common divisor.
- Shows improper fraction, mixed number, and decimal versions where useful.
- Converts fractions to decimals and decimals to simplified fractions.
- Preserves negative values and normalizes signs so denominators stay positive.
- Shows friendly messages for incomplete inputs, zero denominators, and division by zero-value fractions.
- Runs in the browser without requiring an account.
How it works
- Whole numbers, numerators, and denominators are converted into improper fractions before calculation.
- Addition and subtraction use common denominators so the numerators can be combined correctly.
- Multiplication multiplies numerators together and denominators together.
- Division multiplies the first fraction by the reciprocal of the second fraction, unless the second fraction is zero.
- Every fraction result is simplified with the greatest common divisor.
- Decimal conversions use the simplified fraction value and are formatted to avoid long floating-point noise.
Common use cases
- Checking homework or study examples involving fractions.
- Adding recipe measurements written as mixed numbers.
- Converting fractions to decimals for spreadsheets or calculators.
- Turning decimal measurements into fractions.
- Reducing fractions to simpler forms before using them in a document.
- Comparing proper fractions, improper fractions, and mixed numbers in one place.
Frequently asked questions
What is a Fraction Calculator?
A Fraction Calculator helps you add, subtract, multiply, divide, simplify, and convert fractions, including mixed numbers and improper fractions.
Can I enter mixed numbers?
Yes. Enter the whole number in the whole number field, then enter the numerator and denominator for the fraction part.
Can I leave the whole number blank?
Yes. A blank whole number is treated as 0. Numerator and denominator fields are treated as incomplete until you enter them.
Why does the denominator need to be non-zero?
A denominator of 0 does not describe a valid fraction. The calculator shows a friendly message instead of returning NaN or Infinity.
How are fractions simplified?
The calculator divides the numerator and denominator by their greatest common divisor, then keeps the denominator positive.
What is an improper fraction?
An improper fraction has a numerator that is greater than or equal to the denominator, such as 7/2.
What is a mixed number?
A mixed number combines a whole number with a fraction, such as 3 1/2.
Can the tool convert decimals to fractions?
Yes. Enter a decimal such as 0.75, 1.5, or 2.125 to get a simplified fraction and mixed number version.
How does division by fractions work?
The calculator multiplies the first fraction by the reciprocal of the second fraction. If the second fraction equals 0, it shows an error.
Is my fraction input stored by ToolMetro?
No. The Fraction Calculator runs in your browser and does not require server-side processing or an account.