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The Rational Numbers

Definition:
Set of all numbers of the form q/p , where p and q are integers and q ≠ 0

Examples:

Is 2 a rational numbers ? Why?

Reducing fractions

Ex:

Mixed Numbers and Improper Fractions

What is a mixed numbers?

What is an improper fraction ?

How to convert a positive mixed number into an improper fraction?

Examples

Convert into an improper fraction.

Same with

How to convert a positive improper fraction to a mixed number?
1. Divide the numerator by the denominator
2. The mixed number

Examples

Convert into a mixed number

Convert into a mixed number

Terminating versus repeating decimals

Rational numbers can be expressed as decimal numbers either terminating or repeating.

Examples

Adding and subtracting fractions

NEED COMMON DENOMINATOR !!!!

Multiplying fractions :

Dividing fractions

Use the reciprocal

What is the reciprocal of a number ?
A number * its reciprocal always equal ……
Find the reciprocal of 1/3
Find the reciprocal of 4
General Rule for division of fractions:

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