How do you add or subtract fractions with different denominators?

To add or subtract fractions with unlike denominators, you must first find their Least Common Denominator (LCD). Rewrite both fractions with the LCD, perform the operation on the numerators, and simplify.

What is the difference between a proper, improper, and mixed fraction?

A proper fraction has a numerator smaller than its denominator (e.g., 3/4). An improper fraction has a larger or equal numerator (e.g., 5/4). A mixed fraction combines a whole number and a proper fraction (e.g., 1 1/4).

How does this calculator simplify fractions?

Our calculator simplifies fractions by finding the Greatest Common Divisor (GCD) of the numerator and denominator, then dividing both numbers by the GCD to reduce the fraction.

Fraction Calculator

Add, subtract, multiply, and divide fractions, returning reduced results and mixed numbers.

Live

Parameters

R Reset

Operation

Numerator 1Numerator of the first fraction.

-10,00010,000

Denominator 1Denominator of the first fraction.

110,000

Numerator 2Numerator of the second fraction.

-10,00010,000

Denominator 2Denominator of the second fraction.

110,000

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Reduced Fraction

5/6

Decimal Equivalent0.8333

Mixed Number notation—

Raw Unreduced fraction5/6

Result Interpretation

The simplified fraction result is 5/6.

Mathematical Explanation

Performs fractional arithmetic. Resolves operations by adjusting common denominators and factors out the greatest common divisor (GCD) to reduce.

How to Use the Fraction Calculator

Solve operations on fractions instantly with our free fraction calculator. Designed to handle adding, subtracting, multiplying, and dividing proper, improper, and mixed fractions, this tool delivers reduced results along with decimal conversions. Perfect for checking homework, adjusting recipe yields, or planning construction measurements.

Input variables:

Operation: Bounded parameter in the mathematical model.
Numerator 1: Bounded parameter in the mathematical model.
Denominator 1: Bounded parameter in the mathematical model.
Numerator 2: Bounded parameter in the mathematical model.
Denominator 2: Bounded parameter in the mathematical model.

Fractions, Decimals, and Percentages: Conversion Rules

Learn how fractions, decimals, and percentages relate to each other, how to convert between all three forms, and when to use each in practice.

Read Full Guide →