Our **simplify fractions calculator** is a mathematical tool designed to **reduce fractions** to their **simplest form**. It operates by finding the **greatest common divisor (GCD)** of the numerator and denominator, then dividing both by this value.

Let’s simplify the fraction **24/36**:

- Find the
**GCD**of**24**and**36**(which is**12**) - Divide both numerator and denominator by
**12**

**Result**: **24/36** simplifies to **2/3**

## Simplify Fractions Calculator

Original Fraction | Simplified Fraction | Steps |
---|---|---|

18/24 | 3/4 | GCF = 6, 18 ÷ 6 = 3, 24 ÷ 6 = 4 |

45/60 | 3/4 | GCF = 15, 45 ÷ 15 = 3, 60 ÷ 15 = 4 |

16/20 | 4/5 | GCF = 4, 16 ÷ 4 = 4, 20 ÷ 4 = 5 |

30/45 | 2/3 | GCF = 15, 30 ÷ 15 = 2, 45 ÷ 15 = 3 |

12/16 | 3/4 | GCF = 4, 12 ÷ 4 = 3, 16 ÷ 4 = 4 |

21/28 | 3/4 | GCF = 7, 21 ÷ 7 = 3, 28 ÷ 7 = 4 |

36/48 | 3/4 | GCF = 12, 36 ÷ 12 = 3, 48 ÷ 12 = 4 |

40/50 | 4/5 | GCF = 10, 40 ÷ 10 = 4, 50 ÷ 10 = 5 |

42/56 | 3/4 | GCF = 14, 42 ÷ 14 = 3, 56 ÷ 14 = 4 |

63/81 | 7/9 | GCF = 9, 63 ÷ 9 = 7, 81 ÷ 9 = 9 |

72/96 | 3/4 | GCF = 24, 72 ÷ 24 = 3, 96 ÷ 24 = 4 |

80/100 | 4/5 | GCF = 20, 80 ÷ 20 = 4, 100 ÷ 20 = 5 |

84/112 | 3/4 | GCF = 28, 84 ÷ 28 = 3, 112 ÷ 28 = 4 |

99/117 | 19/23 | GCF = 9, 99 ÷ 9 = 11, 117 ÷ 9 = 13 |

108/144 | 3/4 | GCF = 36, 108 ÷ 36 = 3, 144 ÷ 36 = 4 |

## Simplify Fractions Formula

The formula to **simplifying fractions** is:

**Simplified Fraction = (Numerator ÷ GCD) / (Denominator ÷ GCD)**

Where **GCD** is the **Greatest Common Divisor** of the numerator and denominator.

**Simplify 18/24**: **GCD(18, 24) = 6**

Simplified fraction= (18 ÷ 6) / (24 ÷ 6) =3/4

**Simplify 35/49**: **GCD(35, 49) = 7**

Simplified fraction= (35 ÷ 7) / (49 ÷ 7) =5/7

## How Do You Simplify a Fraction?

**Find factors**: List all factors of both the numerator and denominator.**Identify common factors**: Determine which factors are shared by both.**Find the GCD**: The largest common factor is the**GCD**.**Divide**: Divide both the numerator and denominator by the**GCD**.

Let’s simplify **48/64**:

**Factors of 48**: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48**Factors of 64**: 1, 2, 4, 8, 16, 32, 64**Common factors**: 1, 2, 4, 8, 16**GCD = 16****48 ÷ 16 = 3**,**64 ÷ 16 = 4**

Therefore,**48/64**simplifies to**3/4**

## What is the Proper Fraction for 81 3/14?

To find the **proper fraction** for **81 3/14**, we need to convert this **mixed number** to an **improper fraction**:

Multiplythe whole number (81) by the denominator (14):81 × 14 = 1134

Addthis result to the numerator:1134 + 3 = 1137

Placethis sum over the original denominator:1137/14

The **proper fraction** for **81 3/14** is **1137/14**.

To simplify this further:

Find the

GCDof1137and14(which is7)Divide both numerator and denominator by

7

Result:1137/14simplifies to162/2, which further simplifies to81

**81 3/14** is equivalent to **81** in its simplest form.

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