Relationships and Patterns of Fractions: * Identify at least five relationships, and clearly describe each one.

1. Numbers involved in both the addition and subtraction of fractions need to have a common denominator in order to be solved, having the smallest common denominator will make the addition and subtraction easier since you would be working with smaller numbers.
Example: 2/4 + 3/8, you could multiply the denominators and get 32 or just have 8 as the common denominator either way the final answer have to be the same. 2. Relationship Two: Fractions that are multiplied result in a larger fraction that all too often must be reduced to its smallest form.
For example: if you multiply 2/5 by 5/6 it will equal to 10/30, in this case you must simplify it will equal to 1/3. 3. Relationship Three: The division of fractions normally results in an improper fraction this number must then be turned into a mixed number in order to be properly graphed.
Example: (2/3)/ (5/8) =16/15, this means there is 1 entire thing plus 1/15 of the thing. 4. Relationship Four: It is easier to divide fractions by charting the solution in order to determine whether or not the solution is correct.
Example: (3/5)/ (2/3) = 9/10 5. Relationship Five: Regardless of the size of the denominator the numerator remains small and proportional to the denominator.
Example: 15/6 is an improper fraction because the denominator have to be bigger than the numerator. 15/6 is 2½. 6. All fractions must be simplify to the smallest number possible.
Example: 3/6= ½, 15/5= 3 20/60= 1/3