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# CLAAArithLesson19

### Classical Arithmetic 1, Lesson 19

TermDefinition
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