math calculator
Add, subtract, multiply, divide, and simplify fractions.
Keep this tool handy for math exercises, cooking measurements, or woodworking dimensions.
Simplified fraction
5/6
Formula
Add/subtract: ad +/- bc over bd; multiply: ac over bdFractions are combined using a common denominator, then simplified by the greatest common divisor.
Step by step
Example
1/2 + 1/3 becomes 3/6 + 2/6, which simplifies to 5/6.
Related guides
Guide
Master fraction operations including addition, subtraction, multiplication, and division. Learn simplification, common denominators, and fraction-to-decimal conversion with clear examples.
Guide
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Summary
Simplified Result
5/6
Decimal Equivalent
0.8333
First Fraction Decimal
0.5
Second Fraction Decimal
0.3333
D3 visualization
Compare the decimal values of the two inputs and the calculated result fraction.
D3 visualization
A comparison of the simplified result numerator vs. denominator.
Guide
Fractions represent division of a whole, defined by a numerator (part) and a denominator (whole). Adding or subtracting fractions requires a common denominator, while multiplying combines numerators and denominators directly.
This calculator handles fraction arithmetic and outputs both simplified fractions and decimal equivalents. It also shows the unsimplified ratio so the calculation steps are transparent.
Numerator
The top number in a fraction showing the number of parts being considered.
Denominator
The bottom number in a fraction showing the total number of parts in the whole.
Multiply the denominators of the fractions. For example, the common denominator for 1/2 and 1/3 is 2 x 3 = 6.
A fraction whose numerator and denominator have no common factors other than 1, reached by dividing both parts by their greatest common divisor.