The calculation, without hidden assumptions
A terminating decimal already contains its denominator in its place value. Instead of approximating with binary floating-point math, MAXScanner reads the typed decimal text, places its digits over the matching power of ten and reduces the integers by their greatest common divisor. The reverse direction divides the fraction after normalization.
How to use this calculator
Choose decimal → fraction or fraction → decimal.
For a terminating decimal, type the value as written; for the reverse direction enter numerator and non-zero denominator.
Review the raw place-value fraction, GCD reduction, simplest form, mixed number and decimal representation.
Where people use it
- •Converting measurements between decimal and fractional notation
- •Checking exact terminating-decimal fractions
- •Teaching place value and fraction reduction
Example: 1.625
Three decimal places give 1625/1000. The GCD is 125, so the simplest form is 13/8, which is 1 5/8.
What the result does not assume
- •This page treats typed finite decimals as terminating decimals. Repeating-decimal notation such as 0.(3) is a different problem and is not silently guessed.
- •Extremely long decimal strings are limited to practical precision so integer arithmetic stays reliable in the browser.
Frequently asked questions
Why use the typed decimal instead of a floating-point approximation?+
The text tells us the exact number of decimal places. That keeps a value such as 0.1 exactly equal to 1/10.
Can it convert negative numbers?+
Yes. The sign is preserved while the numerator and denominator are normalized.
Does it support repeating decimals?+
Not by guessing. Repeating notation needs an explicit repeating block; this page is intentionally exact for terminating decimals.
Semantic next steps
Continue the calculation
These links move to a different input, formula or project stage rather than a keyword variation of this page.
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OpenFree publisher widget
Put this calculator on your website
Give readers the live calculator without rebuilding the math. Copy the responsive embed in one click, or customize width, height, border and corner radius before publishing. The branded MAXScanner attribution stays visible.
Keep the result connected to the real job
MAXScanner keeps the formula and assumptions beside the result so you can verify the number before using it in a drawing, estimate, specification, worksheet or document. Where a supplier, manufacturer, drawing or applicable standard owns a requirement, that source remains authoritative.