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# FOFR

### Fractions, Operations with Fractions, and Ratios

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

Demonstrate understanding of fractions as part-whole relationships | The denominator shows the number of equal parts in the whole and the numerator shows how many of those parts are included in the particular fraction |

As multiples of unit fractions | A unit fraction is a fraction with a numerator of 1. You can write a fraction as the product of a whole number and a unit fraction. |

multiples of numbers | Are numbers that you would get by multiplying. |

multiples as ratios | A ratio is a relationship between two numbers indicating how many times the first number contains the second. For example, if a bowl of fruit contains eight oranges and six lemons, then the ratio of oranges to lemons is eight to six |

Demonstrates understanding of characters of fractions that are less than one | Fractions that are greater than 0 but less than 1 are called proper fractions. In proper fractions, the numerator is less than the denominator. |

Demonstrates understanding of characters of fractions that is equal to one | 4/4 =1 1/1 =1 8/8 =1 Fractions similar to these equal to one. |

Demonstrates understanding of characters of fractions that are greater than one | Improper fractions are fractions in which numerator is greater than the denominator. There is a mixed number representation for each and every improper fraction. |

Demonstrates understanding of equipartitioning and that it is a building block for understanding fractions as part-whole relationships | Equal partitioning |

Demonstrates understanding of fraction equivalence | are different fractions that name the same number. |

Uses a variety of strategies for comparing fractions | If two fractions have equivalent denominators, then compare the numerators to determine which faction is greater |

addition with fractions | Step 1: Make sure the bottom numbers (the denominators) are the same. Step 2: Add the top numbers (the numerators), put that answer over the denominator. Step 3: Simplify the fraction (if needed |

subtraction with fractions | Step 1:Make sure the bottom numbers (the denominators) are the same. Step: 2:Subtract the top numbers (the numerators). Put the answer over the same denominator. Step 3:Simplify the fraction (if needed) |

multiplication with fractions | Step 1 1;Simplify the fractions if not in lowest terms. Step 2:Multiply the numerators of the fractions to get the new numerator. Step 3:Multiply the denominators of the fractions to get the new denominator. |

division with fractions | Step 1: divide fractions is to find the reciprocal (reverse the numerator and denominator) of the second fraction. Step 2: multiply the two numerators. Step 3: multiply the two denominators Hint: KEEP! CHANGE! FLIP! |

recognizing that multiplying a whole number by a fraction that is less than one makes a product smaller | Multiplying any number by a fraction less than one produces a product less than the number; |

Demonstarates understanding of appplications of operations on fractions | Step 1:To add (or subtract) two fractions : Step 2:To multiply two fractions: Step 2:To divide by a fraction, multiply by its reciprocal |

reciprocal | 4/3=3/4=1 |