Express 0.23666666........……… in p/q form
Answers
Answer:
X. = 0.236666666...
-1000x =236.6666666...
999x = 236
X = 236/999
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Multiply both side by 10
10x=2.366666666666666.........------2
Subtract equation 1 from 2
10x =2.36666666666.........
x=0.2366666666666.......
9x=2.13
x=2.13/9
=213/900
Answer:
0.2366666...... expressed in p/q form ( fraction form) is 71/300
Step-by-step explanation:
In this kind of question, you want to ensure that you eliminate the decimals so that you have the p/q (fraction) form of the decimal.
Here is the step by step method:
Let 0.2366666...... be x
Therefore:
x = 0.2366666.....
10x = 2.366666......
100x= 23.66666......
1000x = 236.66666.......
You can use 100x and 1000x to eliminate the decimals and find 0.236666..... in the form of p/q:
1000 x - 100 x = 900x
1000x = 236.66666.....
100x = 23.66666......
900x = 213.000000.....
Divide both sides by 900 to find x
Therefore, x = 213/900
Simply this fraction x = 213/900 = 71/300
x = 71/300
0.236666666...... in p/q form (fraction form) = 71/300