0.57 can b written as p/q, q is not equal to 0 as:

a) 26/45 b) 13/27 c)13/29 d) 57/99

I think there is some mistake in your question.The number 0.57 must be either

**CASE FIRST**

If your question has , then the answer is given below.

Let *x = * = 0.5777....

⇒ 10*x* = 5.7777.............. .............(1)

⇒ 100*x* = 57.7777.......... ..............(2)

subtracting eq.(1) from eq.(2), we get,

90*x *= 57.7777..... - 5.7777......

⇒ 90*x *= 52

so option (a) is correct.

**CASE SECOND **

If your question has , then the answer is given below.

Let x = =0.57575757......... ............(1)

⇒ 100x = 57.57575757.............. .............(2)

subtracting eq.(1) from (2), we get,

99x =57.5757...... - 0.5757.......

⇒ 99x =57

So option (d) is correct in this case.

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