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Fraction Calculator
Work with fractions, mixed numbers, whole numbers, terminating decimals, and percents using exact rational arithmetic. See the common denominator, cancellation, reduction, conversions, and a visual size check—not just the answer.
exactrational math
5input forms
6learning tools
FRACTION WORKBENCH
Calculate with exact steps
Try 3/4, -2 1/3, 5, 0.125, or 12.5%. Decimals and percents are converted exactly before any math.
EXACT RESULT55/24
1 2/3 + 5/8 = 55/24
mixed number2 7/24
decimal2.291666…
percent229.1666…%
VISUAL CHECK
See the result on fraction bars
simplified fraction-11/4
mixed −2 3/4 · decimal −2.75 · percent −275%
>
7/12 > 11/20
Common denominator 60 → 35/60 > 33/60.
least common denominator24
4/24, 15/24, 14/24
FRACTION SENSE
One value, several useful forms
Changing form does not change the quantity. Use the representation that makes the next step easiest.
Lowest terms
Divide numerator and denominator by their GCD. A negative sign is normalized to the numerator.
Common denominator
Addition, subtraction, and comparison become direct once denominators describe equal-sized parts.
Before multiplying
Cross-cancel shared factors first to keep numbers small while preserving the exact product.
Mixed ↔ improper
A mixed number is display notation; exact arithmetic is easiest with one numerator over one denominator.
DAILY 12
Build fraction instincts
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FRACTIONS
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FOCUSED PRACTICE
Train the exact skill you need
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MIXED
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30sAdd/subtract: align first
Find a common denominator, scale each numerator by the same factor as its denominator, combine numerators, then reduce.
Multiply: cancel first
Cancel any factor shared across a numerator and the opposite denominator, then multiply what remains.
Divide: multiply by reciprocal
Keep the first value, replace division with multiplication, and invert the second nonzero value.
Decimals can be exact fractions
A terminating decimal such as 0.125 is exactly 125/1000 = 1/8. This page converts first and never uses binary floating point for the math.
LOCAL HISTORY
Your recent fraction calculations
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Exactness, accepted inputs & limits
Exact rational arithmetic
Every accepted input is converted to a BigInt numerator and denominator. Addition, subtraction, multiplication, division, comparison, LCD, and simplification remain exact.
Accepted input
Use fractions (−7/8), mixed numbers (−2 1/4), integers, terminating decimals (.125), or percents (12.5%). Denominators may not be zero.
Repeating decimals
For manageable denominators the decimal view marks the repeating cycle in parentheses. Very long cycles are shortened without changing the exact fraction shown above them.
Visual model scope
Bars are a teaching aid, so very large magnitudes or denominators are summarized rather than drawing thousands of pieces.