The following steps will be useful to simplify the a fraction to its lowest term or in its simplest form.
Step 1 :
Write the numerator and denominator in synthetic division.
Step 2 :
Divide the numerator and denominator by a common divisor as much as possible.
Step 3 :
Continue the process explained in step 2 until you get a pair of numbers which do not have a common divisor other than 1.
Now, write a fraction with these two numbers.
This fraction is the simplest form of the given fraction.
Simplify each fraction and write it in its simplest form.
Example 1 :
42/60
Solution :
The fraction 7/10 is the simplest form 42/60.
That is,
42/60 = 7/10
Example 2 :
14/24
Solution :
The fraction 7/12 is the simplest form 14/24.
That is,
14/24 = 7/12
Example 3 :
36/42
Solution :
The fraction 6/7 is the simplest form 36/42.
That is,
36/42 = 6/7
Example 4 :
104/156
Solution :
The fraction 2/3 is the simplest form 104/156.
That is,
104/156 = 2/3
Example 5 :
45/255
Solution :
The fraction 3/5 is the simplest form 45/255.
That is,
45/255 = 3/5
Example 6 :
54/153
Solution :
The fraction 6/17 is the simplest form 54/153.
That is,
54/153 = 6/17
Example 7 :
9/18
Solution :
The fraction 1/2 is the simplest form 9/18.
That is,
9/18 = 1/2
Example 8 :
18/30
Solution :
The fraction 3/5 is the simplest form 18/30.
That is,
18/30 = 3/5
Example 9 :
21/27
Solution :
The fraction 7/9 is the simplest form 21/27.
That is,
21/27 = 7/9
Example 10 :
12/28
Solution :
The fraction 7/10 is the simplest form 12/28.
That is,
12/28 = 3/7
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