Simplify Fractions Calculator
The Fraction Simplification (Reduction) Calculator is a tool that streamlines the process of reducing fractions. This calculator can quickly and accurately convert any fraction to its simplest form.
The result will be displayed here.
How to Simplify Fractions
The steps to simplify a fraction are as follows:
- Find the greatest common divisor (GCD) of the numerator and denominator.
- Divide both the numerator and the denominator by the GCD to obtain a simpler fraction.
- Repeat steps 1 and 2 until the fraction cannot be simplified further.
Possible Results of Simplified Fractions
After simplifying (reducing) a fraction, the result can take various forms. The result can be:
- A fraction in its simplest form: This is a fraction where the numerator and denominator have no common factors other than 1. For example, the fraction 3/5 is already in its simplest form.
- An integer: This occurs when the numerator and denominator have a common factor of 1, resulting in an integer value, such as 6/6 = 1.
- A mixed number: This is an integer combined with a fraction, such as 3 1/2.
- Already in its simplest form: The fraction may be in its simplest form after the first step, with no further reduction needed. For example, the fraction 2/4 can be reduced to 1/2.
Examples of Simplified Fractions
| Fraction | Simplified Form |
|---|---|
| 12/16 | 3/4 |
| 24/36 | 2/3 |
| 48/64 | 3/4 |
| 36/45 | 4/5 |
| 100/125 | 4/5 |
| 72/90 | 4/5 |