Inspect numerator and denominator together
A fraction is not reduced by changing whichever number looks inconvenient. The tool identifies a greatest common divisor of the combined result's numerator and denominator and applies it to both.
Change the form, keep the quantity
Simplifying a fraction divides both parts by the same common factor. The result can look smaller on the page while representing exactly the same quantity.
Put it into practice
Compare the forms by equality
Two fourths and one half are equal because both parts of two fourths were divided by two. The browser diagram illustrates relative magnitude but does not prove the equality by exact visual partitions, so use the arithmetic explanation as the main evidence.
Keep signed and zero cases clear
A negative sign is normalized to the numerator. A zero numerator with a nonzero denominator represents zero and can reduce accordingly. A zero denominator is rejected because it does not define a fraction in this lab.
A worked example
Two sixths reduce to one third by dividing numerator and denominator by two. Dividing only the numerator would produce one sixth, changing the value instead of simplifying it.
Exact fraction arithmetic and relative-magnitude visualizer
Fractions keep their meaning when the numerator and denominator are handled together. Enter two fractions to add, subtract or multiply, inspect the unreduced result and its simplification, and compare their relative magnitudes. Arithmetic uses exact integers rather than floating-point guesses.
The diagram shows relative magnitudes, not exact partitions of a whole. Signed fractions are supported, and denominators cannot be zero. Very large values can remain exact in the calculation while being too large for a useful browser graphic.
Inputs are processed in this page. Nothing is submitted to the app or a business. Download a result to keep it; this page does not automatically save your work.
What to keep in mind
This browser lab is an independent educational companion, not the app's protected student workflow. It deliberately offers an optional explanation and does not authenticate a parent or enforce the app's solution restrictions.
Continue exploring
Exact fraction arithmetic and relative-magnitude visualizer
Why adding fractions needs a common denominator
Understand fraction reduction without changing the value
Explore signs when adding, subtracting and multiplying fractions
Chalkline vs Khan Academy: problem guidance and structured practice
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