Question

Express 0.75555555... in the p/q form​

Answer 1

Step-by-step explanation:

0.755555555.......=x

10x=7.555555...

10x=7.55555555

- x= 0.75555555

9x=6.8

x=6.8÷9×10÷10=68÷90=34÷45

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Answer 2

x = 0.755555.... → (i)

=> 10x = 7.55555.. → (ii)

=> 100x = 75.5555.. → (iii)

Now, on subtracting (ii) from (iii), we get,

100x - 10x = 75.555.. - 7.555..

=> 90x = 68

=> x = 68/90 = p/q

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