Question

Express 0.23666666........……… in p/q form

Answer 1

Answer:

X. = 0.236666666...

-1000x =236.6666666...

999x = 236

X = 236/999

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Answer 2

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