Simplify Fractions Calculator
Enter the fraction you want to simplify.
The result will be displayed here.
Table of Contents
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 |
Frequently Asked Questions
What does it mean to simplify a fraction?
To simplify a fraction means to reduce it to its lowest terms by dividing the numerator and denominator by their greatest common divisor (GCD).
How can you tell if a fraction can be simplified?
If the numerator and denominator share a common factor greater than 1, the fraction can be simplified.