Simplify any fraction with this fraction simplifier:

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## 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 |