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# CLAAArithLesson19

### Classical Arithmetic 1, Lesson 19

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

What is a Fraction? | A Fraction is a number that represents a ratio of two integers. Given two positive integers a and b, we define the fraction a/b to represent their ratio a : b. The number a is called the Numerator of the fraction, and the number b is called the Denominato |

What are Rational Numbers? | We call fractions Rational Numbers, to distinguish them from the Integers, which are the multiples of unity. |

Are the Integers also Rational Numbers? | Yes, every Integer a can be written as the fraction a/1, and is a Rational Number. |

What is a Proper Fraction? | A Proper Fraction is a fraction that is smaller than unity. |

What is an Improper Fraction? | An Improper Fraction is a fraction that is not smaller than unity. |

What is a Mixed Number? | A Mixed Number is an integer a added to a proper fraction b/c. It is written as a+b/c. |

When do we say that a fraction is reduced into Lowest Terms? | A fraction is said to be reduced into Lowest Terms if the greatest common measure of the numerator and the denominator is 1. |

How do we reduce a fraction into Lowest Terms? | Find the greatest common measure of the numerator and the denominator of the fraction. Then, replace each of them with their quotient by it. |

Created by:
RosaEverwhite