Question

Express 0.68734 (bar on 734 ) in the form of p/q

Answer 1

Express 0.68734 (bar on 734) in the form of p/q
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Let p/q = 0.68734734734... - (i)

Multiply 100 both side in equation (i):-

100 * p/q = 100 * 0.68734734734

100p/q = 68.734734734... - (ii)

Multiply 1000 both side in equation (ii):-

1000 * 100p/q = 1000 * 68.734734734...

100000p/q = 68734.734734734... - (iii)

Subtract equation (ii) from (iii):-

100000p/q = 68734.734734734...

- 100p/q = 68.734734734

99900p/q = 68666.0

p/q = 68666/99900 Ans.