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# Decimal Fractions

### Decimal Fractions Calculations

Term | Definition |
---|---|

Numerator | The top number of a fraction which tells how many parts of the object are being used. |

Denominator | The bottom number of a fraction which tells how many parts the whole is divided into. |

Fraction | Is part of a whole. |

Equivalent | Equal in value, amount, function, meaning,... Can be a fraction, decimal or percentage. |

Simplify | Replace an expression with its simplest name or form. Can be fraction, decimal or percentage. |

Mixed Fraction | A fraction consisting of a whole number and a proper fraction combined. Eg 1 & 1/3. |

Improper Fraction | A fraction in which the numerator is greater than or equal to the denominator; examples: 5/5 or 7/4. |

Proper Fraction | A fraction where the denominator is larger than the numerator eg. 1/2, 4/5. |

Adding / Subtracting Fractions | First make sure the Fractions are Improper or Proper and the Denominators must be the same. |

Finding Fractions of Amounts | Divide amount by the Denominator then Multiply by the Numerator. |

Decimals into Percentages | Multiply by 100. |

Percentages into Decimals | Divide by 100. |

Percent | "Out of 100" |

Write and solve. If Jason spends 2 1/2 hours more at camp, he will complete 9 hours of camp counseling. How many hours has he worked as a counselor so far? | 9 - 2 1/5; 9 - 2 = 7 He has worked 6 4/5, so if you were to round it, he would have worked about 7 hours. |

Write and solve. One and one-half years ago, Steven was 5 years old. How old is he now? | n - 1/2 = 5; 6 1/2 years old |

2.5 + (6.2 -1.1) | 7.6 |

(6.1 +2.3)0.5 + 0.35 ÷ 0.5 | 11.2 |

(2.8 - 1.8) ∙ (4.3 + 2.1 ÷ 0.7) | 7.3 |

(7)(-2) + (9.2 - 2.2)(-3.6 - 6.4) + | -5 + 7 + 1 | | -81 |

0.3(2.5 - 2.3) + 4.2 ÷ 6 | 0.76 |

7.1 + 0.5 ∙ 3.2 | 8.7 |

numerical expression | A math phrase using only numbers and one or more operation symbols (+, -, X, /) |

algebraic expression | A math phrase using numbers, an operation (addition, subtraction, multiplication, division) and a VARIABLE. |

Created by:
garfieldwhitebooi