Simplifying Fractions
The student will simplify a proper fraction to its lowest terms.
The student will simplify an improper fraction to a mixed fraction in its lowest terms.
The student will simplify a mixed fraction to its lowest terms.
A proper fraction is said to be in lowest terms if the numerator and denominator do not have any factors in common. For example: are all in lowest terms, but the fractions: are not.
Steps to simplifying a proper fraction 
Example: 
Step 1: Determine the factors of the numerator. 
The factors of 12 are: 1, 2, 3, 4, 6 and 12. 
Step 2: Determine the factors of the denominator. 
The factors of 20 are: 1, 2, 4, 5, 10, 20. 
Step 3: Find the greatest common factor. 
The greatest common factor is 4 
Step 4: Divide both the numerator and the denominator by the greatest common factor. 
12 divided by 4 is 3. 20 divided 4 is 5. 
Step 5: Write your answer. 

With some practice you can often see the greatest common factor without having to list all the factors. If you do this make sure that there are no common factors still remaining.
Simplifying An Improper Fractions
An improper fraction is said to be in lowest terms if it is in mixed form and the fraction part is proper and in lowest terms.
Steps to simplifying an improper fraction 
Example: 
Step 1: Divide the denominator into the numerator. The quotient is the whole number in the mixed fraction. The remainder is the new numerator. 
The whole number is 5. The new numerator is 2. The denominator is 3 
Step 2: Determine the factors of the new numerator. 
The factors of 2 are 1, 2. 
Step 3: Determine the factors of the denominator. 
The factors of 3 are 1, 3. 
Step 4: Find the greatest common divisor of the numerator and denominator. 
The greatest common divisor is 1. 
Step 5: Divide both the numerator and the denominator by the greatest common factor. 
Dividing 2 and 3 by 1 does not change the fraction. 
Step 6: Write your answer. 

With some practice you can often see the greatest common factor without having to list all the factors. If you do this make sure that there are no common factors still remaining.
A mixed fraction is said to be in lowest terms if the fraction part is proper and in lowest terms.
Steps to simplifying a mixed fraction 
Example: 
Step 1: Make sure the fraction part is in proper form. If it is not use the improper fraction method above to put it in proper form. Then add the whole numbers together.  For this problem the fraction part is in proper form. 
Step 2: Determine the factors of the numerator.  The factors of the numerator 8 are 1, 2, 4, and 8. 
Step 3: Determine the factors of the denominator.  The factors of the denominator 12 are 1, 2, 3, 4, 6, and 12. 
Step 4: Find the greatest common factor.  The greatest common divisor is 4. 
Step 5: Divide both the numerator and the denominator by the greatest common factor.  8 divided by 4 is 2. 12 divided by 4 is 3. 
Step 6: Write your answer. 
With some practice you can often see the greatest common factor without having to list all the factors. If you do this make sure that there are no common factors still remaining.
Program Instructions
Select the type of problem: There are three choices.
If a digit is incorrect the box will turn red. Only the answer fraction will decide if the work done is incorrect.
The answer must be reduced to simplest form.
StudentComputer: This check box allows you to either practice a problem or to have the computer show you the answer. If you cannot seem to get the correct answer check the checkbox and the computer will show you the correct answer.
Delay: The motion of the basketball player is controlled by your computer processor speed. If the player moves too fast make the number larger and click on Delay. If too slow, enter a smaller number and click on Delay.
For the proper fraction or mixed fraction problem:
Note: The greatest common factor is at most 70. 
For the improper fraction problem:
