Fraction Calculator Online - Add, Multiply, Divide Fractions

    Add, subtract, multiply and divide fractions. Simplify to lowest terms and convert to decimal.

    Parameters

    Enter data for calculations

    Numerator (top part of the fraction). E.g. for 1/2, the numerator is 1. This is the dividend in the division.

    Denominator (bottom part of the fraction). E.g. for 1/2, the denominator is 2. The denominator cannot be zero.

    Choose operation: addition (common denominator), multiplication (numerator x numerator, denominator x denominator), subtraction, or division (multiply by reciprocal).

    Numerator of the second fraction. E.g. for 1/3, the numerator is 1. Enter a whole number.

    Denominator of the second fraction. E.g. for 1/3, the denominator is 3. Remember - the denominator cannot be zero.

    Form progress0 / 5 fields

    💡 Fill in all required fields to unlock the calculate button

    What Does the Fraction Calculator Do?

    Enter two fractions and pick an operation - addition, subtraction, multiplication or division. The calculator returns the result simplified to lowest terms and shows step-by-step working.

    Quick start: Enter numerator and denominator for each fraction, select the operation, click Calculate. E.g. 2/3 + 1/4 = 11/12.

    Practical Examples

    Example 1: Adding fractions 1/3 + 1/6
    Common denominator: 6. Result: 2/6 + 1/6 = 3/6 = 1/2
    Example 2: Subtracting fractions 3/4 - 1/3
    Common denominator: 12. Result: 9/12 - 4/12 = 5/12
    Example 3: Multiplying fractions 2/5 x 3/7
    Multiply tops and bottoms: (2x3)/(5x7) = 6/35
    Example 4: Dividing fractions 3/4 / 2/5
    Flip and multiply: 3/4 x 5/2 = 15/8 = 1 7/8
    Example 5: Simplifying result 4/6 + 2/6
    Sum: 6/6 = 1 (whole number)

    Fraction Operations - How They Work

    Operation Method Example
    Addition Find common denominator, add numerators 1/4 + 1/3 = 3/12 + 4/12 = 7/12
    Subtraction Find common denominator, subtract numerators 5/6 - 1/4 = 10/12 - 3/12 = 7/12
    Multiplication Multiply numerators, multiply denominators 2/3 x 4/5 = 8/15 = 8/15
    Division Flip second fraction, then multiply 2/3 / 4/5 = 2/3 x 5/4 = 10/12 = 5/6

    FAQ - Frequently Asked Questions

    How do I find a common denominator?
    Find the LCM (Least Common Multiple) of both denominators. For 1/4 + 1/6: LCM of 4 and 6 is 12. Convert: 3/12 + 2/12 = 5/12. The calculator does this automatically.
    What does "simplify to lowest terms" mean?
    Divide both numerator and denominator by their GCD (Greatest Common Divisor). For example, 6/8: GCD of 6 and 8 is 2. So 6/8 = 3/4.
    Can I use negative fractions?
    Yes. Enter a negative numerator (e.g. -3/4). The result will be correctly signed. -1/2 + 3/4 = 1/4.
    Why can the denominator not be zero?
    Division by zero is undefined in mathematics. A fraction with denominator 0 has no meaning. The calculator will show an error if you enter 0 as a denominator.
    How do I convert a mixed number to a fraction?
    Multiply the whole number by the denominator, add the numerator. Example: 2 3/4 = (2 x 4 + 3) / 4 = 11/4.
    How do I convert a fraction to a decimal?
    Divide the numerator by the denominator. 3/4 = 3 / 4 = 0.75. Some fractions give repeating decimals: 1/3 = 0.333...

    Related Tools

    Percentage Calculator

    Calculate percentages, discounts, markups and VAT. - Open calculator

    Pythagorean Theorem Calculator

    Find the missing side of a right triangle. - Open calculator

    Related topics

    fraction calculator
    add fractions
    multiply fractions
    divide fractions
    subtract fractions
    simplify fractions
    common denominator
    fraction to decimal
    mixed numbers
    fraction math
    reduce fractions
    lowest terms
    fraction operations
    math fractions
    GCD fractions

    Similar calculators from this section