## Definition

Decimals, Fractions & Percentages are different ways of showing value

### Examples

*Percent* | *Decimal* | *Fraction* |

1% | 0.01 | 1/100 |

5% | 0.05 | 5/100 |

10% | 0.1 | 10/100 |

25% | 0.25 | 25/100 |

50% | 0.5 | 50/100 |

75% | 0.75 | 75/100 |

100% | 1 | 100/100 |

125% | 1.25 | 125/100 |

150% | 1.5 | 150/100 |

200% | 2 | 200/100 |

## Conversions

*Base Form* | *Decimals* | *Fractions* | *Percentages* |

**Decimals** | – | 1) multiply by (10/10) for every number after the decimal point 2) simplify the fraction | multiply by 100, and add a “%” sign |

**Fractions** | divide the numerator by the denominator | – | 1) divide the numerator by the denominator,2) then multiply the result by 1003) and add the “%” sign |

**Percentages** | 1) divide by 1002) remove the “%” sign | 1) divide by 100 & remove %2) multiply by (10/10) for every number after the decimal point3) simplify the fraction | – |

### Examples

*Base Form* | *Decimals* | *Fractions* | *Percentages* |

**0.125** | **0.125** | 1/8 | 12.5% |

**2/5** | 0.4 | **2/5** | 40% |

**75%** | 0.75 | 3/4 | **75%** |

## Learn More

**Relative Frequency**

**Discrete and Continuous Data**