Simplify any fraction with this fraction simplifier:
Rate this simplifier
How to use the Fraction Simplifier?
Time needed: 1 minute
- Enter the Fraction
Write the Numerator of the fraction into the top field.
Write the Denominator of the fraction into the bottom field. - Press the Calculate button
Press the Calculate button below the fraction fields.
- Review the Output
The results will appear in the Output field.
- Copy or Save the result
Optionally, you can Copy the output to clipboard, or Save it as a file on your device.
Calculator features
| 🔢 Result Format: | Proper Fraction or Mixed Fraction |
| ⚡ Speed of Computation: | Instant! |
| ➡️ Calculator Output: | Display, Copy, Save |
| 🎯 Calculator Accuracy: | 100% |
| 📋 Definitions and Examples: | Available |
What are Improper Fractions and Mixed Numbers?
In math, an improper fraction is a fraction where the numerator is equal to, or greater than the denominator.
Examples of improper fractions include: 5/4, 12/10, 4/3.
A mixed number combines a whole number and a separate fraction. Mixed number are often the result of the process of simplification of improper fractions.
Example of mixed numbers include: 1 2/3 (one and two thirds), 4 5/8 (four and five eights).
How to simplify fractions?
Simplifying a fraction means rewriting it as an equivalent fraction that has no common factors in the numerator and the denominator.
The outcome of this process is a fraction reduced to its lowest terms.
Method 1: Keep dividing by prime numbers
Start by dividing both the numerator and the denominator (the top number and the bottom number of the fraction) by prime numbers (2, 3, 5, 7, 11, 13, 17, 19, 23, 29, 31, 37, etc) from smallest to larger, and repeat until you can’t divide any further.
This is the easiest way to simplify fractions by hand.
Example: Simplify the fraction 24/108.
Divide Both 24 and 108 by 2: 12/54
Divide both by 2 again: 6/27
Since you can’t divide further by 2, divide both by 3: 2/9
You can not divide any further, so 2/9 is the simplest form of the fraction 24/108.
Method 2: Divide by the Greatest Common Factor
- Find the Greatest Common Factor (GCF) between the numerator and the denominator
- Divide both the numerator and the denominator by their GCF
Example: Simplify the fraction 5/25
Find the GCF of 5 and 25, which is 5.
Divide both 5 and 25 by 5: the result is 1/5.
How to simplify improper fractions?
Follow the process above to simplify the fraction, then convert the resulting fraction to mixed number form by following the steps below:
- Divide the numerator by the denominator: the result is the whole number part of the mixed number
- Use the remainder as the new numerator over the denominator.
Example: Simplify 10/8.
The reduced fraction is 5/4.
Now divide 4 by 5. The result is 1 (the whole number) with a remainder of 1 (the new numerator).
So we can simplify 10/8 as 1 1/4 (one and one fourth).
Simplified fractions table
| Fraction | Simplifed Fraction |
|---|---|
| 1/2 | 1/2 |
| 1/3 | 1/3 |
| 2/3 | 2/3 |
| 1/4 | 1/4 |
| 2/4 | 1/2 |
| 3/4 | 3/4 |
| 1/5 | 1/5 |
| 2/5 | 2/5 |
| 3/5 | 3/5 |
| 4/5 | 4/5 |
| 1/6 | 1/6 |
| 2/6 | 1/3 |
| 3/6 | 1/2 |
| 4/6 | 2/3 |
| 5/6 | 5/6 |
| 1/7 | 1/7 |
| 2/7 | 2/7 |
| 3/7 | 3/7 |
| 4/7 | 4/7 |
| 5/7 | 5/7 |
| 6/7 | 6/7 |
| 1/8 | 1/8 |
| 2/8 | 1/4 |
| 3/8 | 3/8 |
| 4/8 | 1/2 |
| 5/8 | 5/8 |
| 6/8 | 3/4 |
| 7/8 | 7/8 |
| 1/9 | 1/9 |
| 2/9 | 2/9 |
| 3/9 | 1/3 |
| 4/9 | 4/9 |
| 5/9 | 5/9 |
| 6/9 | 2/3 |
| 7/9 | 7/9 |
| 8/9 | 8/9 |
| 1/10 | 1/10 |
| 2/10 | 1/5 |
| 3/10 | 3/10 |
| 4/10 | 2/5 |
| 5/10 | 1/2 |
| 6/10 | 3/5 |
| 7/10 | 7/10 |
| 8/10 | 4/5 |
| 9/10 | 9/10 |