How to use
Use this page when a fraction needs its simplest equivalent form. Enter one value, calculate, and compare the original fraction with the reduced result. This is useful for cleaning up an answer before comparing it or using it in another calculation.
Type an integer, a fraction such as 7/12, or a mixed number such as -2 1/3. Put one space between the whole and fractional parts. The leading minus sign applies to the entire mixed number: -2 1/3 means -(2 + 1/3), not -2 + 1/3. Use 0 for zero. For an ordinary fraction the denominator may be negative; the answer moves that sign to the numerator.
Examples appear in gray and work directly with Calculate. Focusing any numeric field clears all examples together. If you leave the numeric fields without entering anything, the examples return. Once you type or paste in any field, examples will not return, even if you delete that entry. Your own values use the normal dark text. Empty or invalid inputs leave an unfinished diagram with axes and no calculated points. Valid values update the diagram. Calculate confirms the detailed result for copying; editing invalidates that confirmed result. Clear empties the inputs without restoring examples.
Method and interpretation
The greatest common divisor g divides the numerator and denominator without a remainder. Replacing n/d with (n/g)/(d/g) preserves the ratio. A negative denominator is normalized to positive. The mixed form separates the whole part from the remainder; it does not change the value. For small proper fractions, two bars use the same whole and show how fewer, larger parts represent the same amount.
The drawing uses a bounded scale and never creates one element for every denominator unit. Labels occupy separate rows, so equal or very close values may share a horizontal position without hiding their names. The exact fraction text is authoritative. A small gap on the drawing is not evidence that two fractions are equal. Use the picture to understand position and sign, and the arithmetic to establish an exact answer.
Examples
18/24 reduces to 3/4 because gcd(18,24) = 6. The original bar shades eighteen of twenty-four parts; the reduced bar shades three of four. Both occupy three quarters of the whole.
-14/6 reduces to -7/3 and the mixed form -2 1/3. The greatest common divisor is 2. The negative sign covers both the whole and fractional parts of that mixed number.
Limits and troubleshooting
Each integer component accepts at most 100 digits, excluding its sign. Decimal input, thousands separators, expressions and variables are outside this page. For mixed numbers, use a positive denominator and a fractional numerator smaller than that denominator. Rewrite 2 5/3 as 3 2/3 or 11/3. A denominator of zero is always invalid; change it to the intended nonzero value before calculating.
Frequently asked questions
What happens to zero?
0/d becomes 0 for every nonzero d. Its normalized denominator is 1.
What if the greatest common divisor is 1?
The fraction is already reduced. A change of denominator sign may still be needed.
Why are some bars not partitioned?
Only proper fractions with at most 24 denominator parts use partitioned bars. Other inputs use the number line to avoid excessive or misleading partitions.
Can I enter a decimal?
No. This page accepts integer components. Use the separate decimal-to-fraction tool for decimal input.