Convert the following fraction to a percentage and decimal: → | 389.4 |

3000 |

This is also written as

Percentage = | Numerator * 100 |

Denominator |

Percentage = | 389.4 * 100 |

3000 |

Percentage = | 38940 |

3000 |

Percentage = 12.98%

Now we need to calculate the decimal version of the percentage:

The decimal version of a percentage is just the percentage divided by 100.

Dividing by 100 is the same as shifting the decimal point 2 places to the left.

Shifting 12.98 one decimal place to the left, we get --> 1.298

Shifting 1.298 another decimal place to the left, we get --> 0.1298

A terminating decimal is one that ends and does not repeat

Since the decimals 8 does not repeat, this