fraction tutorials

Visualizing Fractions
Fractions can be visualized in many ways:	Fractions can be interpreted as part of a whole:
Equivalent Fractions
Equivalent Fractions are the same "size" visually	Select the equivalent fraction:
Equivalent Fractions and Mixed Numbers: The Numerator and Denominator
The numerator and denominator can be described using parts of a whole:	The numerator and denominator can also be described using sets:
Improper Fractions and Mixed Numbers
Fractions can be changed from their improper form to a mixed number:
Adding Fractions Introduction to adding fractions - a coin application:
Adding Fractions with like denominators:	Adding Fractions with un-like denominators:
Adding Mixed Fractions:
Adding FSubtracting Fractionsractions
Subtracting Fractions visually (with "borrowing"):	Subtracting Mixed Fractions:
Multiplying Fractions
Multiplying Fractions visually (with a whole number):	Multiplying Fractions visually (with another fraction):
Multiplying Fractions visually (with polygon pieces) Dividing Fractions
Dividing Fractions visually (count sets): The concept of dividing fractions can be shown visually using circle manipulatives. "count sets" is used when the first number (the original set) is a whole number, or can be subdivided into sets that are each the "size" of the second fraction. To obtain the quotient we must "count the number of sets" the original set can be sub-divided into that are each the "size" of the second fraction. The visualization used for this division example is the "count sets" (also see two-digit divide) visualization.	Dividing Fractions visually (count elements): The concept of dividing fractions can be shown visually using circle manipulatives. "count elements" is used when the second number is a whole number. The whole number is the number of sets the first number (the original set) will be subdivided into. To obtain the quotient we must "count the elements" in each set, but in this case there could be less than one element in each set and so it is more beneficial to use the phrase "find the SIZE" of each set (rather than "count the elements in each set"). The visualization used for this division example is the "count elements" (also see two digit divide) visualization.

Dividing Fractions visually (polygon model): lly (count elements):
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