Fraction Calculator
Fraction Calculator
Calculate fractions using addition, subtraction, multiplication, and division. Simplify fractions, work with mixed numbers, and convert fractions to decimals and decimals to fractions.
Fraction Calculator
Calculate two fractions using the operation of your choice.
Result
Mixed Numbers Calculator
Calculate with mixed numbers containing a whole number and a fraction.
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Simplify Fractions Calculator
Reduce a fraction to its simplest form.
Simplified Result
Decimal to Fraction Calculator
Convert a decimal number into a simplified fraction.
Conversion Result
Fraction to Decimal Calculator
Convert a fraction into its decimal equivalent.
Decimal Result
Big Number Fraction Calculator
Calculate fractions with very large integer numerators and denominators.
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Understanding Fractions
A fraction represents a part of a whole. It consists of a numerator, which is the number above the fraction bar, and a denominator, which is the number below the bar. The denominator cannot be zero.
For example, in 3/8, the numerator is 3 and the denominator is 8. If a pie is divided into eight equal slices, three slices represent 3/8 of the pie.
How to Add Fractions
Fractions with different denominators need a common denominator before their numerators can be added. For example:
3/4 + 1/6 = 9/12 + 2/12 = 11/12
How to Subtract Fractions
To subtract fractions, express them with a common denominator, subtract the numerators, and simplify the result if possible.
3/4 − 1/6 = 9/12 − 2/12 = 7/12
How to Multiply Fractions
Multiply the numerators together and multiply the denominators together. Then simplify the result.
3/4 × 1/6 = 3/24 = 1/8
How to Divide Fractions
To divide by a fraction, multiply the first fraction by the reciprocal of the second fraction.
3/4 ÷ 1/6 = 3/4 × 6/1 = 18/4 = 9/2
Simplifying Fractions
A fraction is simplified by dividing its numerator and denominator by their greatest common divisor (GCD). For example, both 22 and 40 are divisible by 2:
22/40 = 11/20
Converting Decimals to Fractions
A terminating decimal can be written as a fraction over a power of 10, then simplified. For example, 0.125 equals 125/1000, which simplifies to 1/8.
0.125 = 125/1000 = 1/8
Converting Fractions to Decimals
Divide the numerator by the denominator to obtain the decimal equivalent. Some fractions produce terminating decimals, while others produce repeating decimals.
1/8 = 1 ÷ 8 = 0.125
What Are Mixed Numbers?
A mixed number combines a whole number and a proper fraction. For example, 2 3/4 means two whole units and three-quarters of another unit. It can also be written as the improper fraction 11/4.
Frequently Asked Questions
Can a fraction have a denominator of zero?
No. Division by zero is undefined, so a fraction with a zero denominator has no defined value.
What is an improper fraction?
An improper fraction has a numerator whose absolute value is greater than or equal to its denominator, such as 9/4.
Why should fractions be simplified?
Simplifying expresses the same value using the smallest possible numerator and denominator, making fractions easier to read and compare.