Solve rational forms with exact outputs and checks. See decimals, percentages, inverses, and factor details. Save tables, print reports, and practice reduction confidently today.
Choose one input mode. Enter values in the fields below. The calculator uses a three column layout on large screens, two on smaller screens, and one on mobile.
| Input mode | Input | Simplified form | Mixed form | Decimal |
|---|---|---|---|---|
| Fraction | 42/56 | 3/4 | 3/4 | 0.75 |
| Fraction | 24/6 | 4 | 4 | 4 |
| Mixed number | 2 6/8 | 11/4 | 2 3/4 | 2.75 |
| Decimal | 3.75 | 15/4 | 3 3/4 | 3.75 |
| Fraction | -18/30 | -3/5 | -3/5 | -0.6 |
The main reduction rule is simple.
a/b = (a ÷ gcd(a,b)) / (b ÷ gcd(a,b))
The greatest common divisor removes shared factors from both parts.
The denominator stays positive after simplification.
Mixed numbers convert with this rule.
w n/d = ((|w| × d) + n) / d
Then the sign is applied once.
Decimals convert by removing the decimal point.
decimal = integer fraction / 10number of decimal places
After that, the same gcd method reduces the fraction.
A rational simplifier reduces a fraction to its cleanest exact form. It also converts mixed numbers and decimals into fractions. This helps you compare values quickly. It also makes later algebra steps easier. The calculator gives the simplified fraction, mixed form, decimal value, percentage, reciprocal, and factor details.
Reduced fractions are easier to read. They are also easier to check. In homework, exams, and reports, simplified answers look complete. They remove extra factors that hide the real value. That matters in arithmetic, ratio work, probability, measurement, and introductory algebra.
The tool first turns every input into one fraction. A mixed number becomes an improper fraction. A decimal becomes a fraction over a power of ten. Then the calculator finds the greatest common divisor. That divisor is shared by the numerator and denominator. Dividing both parts by that value produces the reduced result.
The simplified fraction is the main answer. The mixed form helps when the value is larger than one. The decimal value is useful for quick estimation. The percentage is useful for comparison. The reciprocal helps in division problems. Prime factors show why the fraction reduces. Equivalent fractions help you verify the result visually.
Use this calculator when checking textbook exercises, simplifying recipe ratios, reducing measurement conversions, reviewing class examples, or preparing answer sheets. It is also useful when you need exportable results. The built in CSV and PDF options make that easy. The step list supports learning and fast review.
A rational simplifier reduces a fraction to lowest terms. It removes common factors from the numerator and denominator without changing the value.
Yes. It normalizes the sign and keeps the denominator positive. The negative sign is placed in the numerator or shown with the whole result.
Yes. Choose mixed number mode. The calculator converts the entry to an improper fraction, then reduces it and shows the mixed form again.
Yes. Use decimal mode for terminating decimals. The tool converts the decimal to a fraction, then simplifies it with the same reduction method.
Equivalent fractions help you verify the simplified result. They show that many fraction forms represent the same value after scaling both parts equally.
The calculator stops and shows an input error. A denominator of zero is undefined and cannot be simplified into a valid rational number.
Some reduced fractions produce repeating decimals. In those cases, the calculator shows a rounded decimal based on the precision setting you choose.
Yes. After calculation, you can download a CSV file or a PDF file. Both options use the result shown above the form.
Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.