Proper Fractions
Proper fractions are simple fractions such as 1/2 and 1/7 where the numerator is smaller than the denominator and both are integers. They are rational
numbers and the denominator can be any integer but zero. When converting a proper fraction into a decimal, the result should be bigger than -1 but smaller
than 1.
Examples:

Improper Fractions
Improper fractions are also simple fractions but their numerator is larger than their denominator. For example, 3/2, 9/4 and 5/3 are improper fractions.
Another way to determine whether a fraction is improper or not is to see if the number you get when converting it into a decimal is larger than 1 or smaller
than -1. If this is the case, it is an improper fraction.
Examples:

Mixed Numbers
A mixed number is composed of an integer which is not 0 and a proper fraction. It is created when transforming an improper fraction into a proper fraction.
For example, if you transfer 3/2 into a mixed number you get 1 ½. You are basically making the fraction proper by extracting as many whole numbers as
possible and then adding them to the proper fraction so that you end up with a number that is not 0 and a proper fraction.
Examples:

Moving on to some more Challenging Stuff!
This page should have taught you the basic principles of Fractions. If you have understood everything, you should move on and start working with
fractions. Try simplifying and finding equivalent fractions or even calculating with fractions. Please share this page if you like it or found it helpful!

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Chapter 3.0: Learning Outcomes
Students will know the definition and components of a fraction
(numerator, denominator and division line)!
Students will know why we use fractions (over decimals)!
Students will know and be able to identify the 3 different types of
fractions!
Students will know how to shade (graphically represent) fractions!

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