A **Lowest Term Calculator** is a mathematical tool designed to simplify fractions to their most reduced form. It works by dividing both the **numerator** and **denominator** of a fraction by their **greatest common divisor (GCD)**.

## Lowest Term Calculation Chart

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

24/36 | 1. Find GCD: 12. Divide numerator by GCD: 24 ÷ 12 = 2. Divide denominator by GCD: 36 ÷ 12 = 3 | 2/3 |

50/75 | 1. Find GCD: 25. Divide numerator by GCD: 50 ÷ 25 = 2. Divide denominator by GCD: 75 ÷ 25 = 3 | 2/3 |

18/24 | 1. Find GCD: 6. Divide numerator by GCD: 18 ÷ 6 = 3. Divide denominator by GCD: 24 ÷ 6 = 4 | 3/4 |

100/400 | 1. Find GCD: 100. Divide numerator by GCD: 100 ÷ 100 = 1. Divide denominator by GCD: 400 ÷ 100 = 4 | 1/4 |

## Lowest Term Calculation Formula

The formula for calculating the **lowest term** of a fraction is:

**Lowest Term = (Numerator ÷ GCD) / (Denominator ÷ GCD)**

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

**To use this formula, let’s consider the fraction 48/72:**

First, we need to find the GCD of

48and72. Using theEuclidean algorithmor factor trees, we determine that the GCD is24.Now, we apply the formula:

Numerator ÷ GCD = 48 ÷ 24 = 2

Denominator ÷ GCD = 72 ÷ 24 = 3

Therefore, the lowest term is

2/3.

### How can you find the lowest term?

Finding the lowest term of a fraction involves a systematic approach:

**Identify the fraction**: Start with the given fraction, for example,**56/84**.**Find the GCD**: Determine the greatest common divisor of the numerator and denominator. For**56**and**84**, the GCD is**28**.**Divide both parts by the GCD**: Divide both the numerator and denominator by the GCD.- Numerator: 56 ÷ 28 = 2
- Denominator: 84 ÷ 28 = 3
**Write the new fraction**: The resulting fraction after division is the lowest term. In this case,**2/3**.**Verify**: Ensure that the new fraction cannot be reduced further. If it can, repeat steps 2-4.

## What is 5% in its lowest term?

To express **5%** in its lowest term, we need to convert it to a fraction and then simplify:

Convert **5%** to a fraction: **5% = 5/100**

Simplify the fraction:

The GCD of **5** and **100** is **5**

Divide both numerator and denominator by **5**:

`5 ÷ 5 = 1`

`100 ÷ 5 = 20`

**The simplified fraction is 1/20**

Therefore, **5% in its lowest term is 1/20**.