Question

0.573737373737..............=

Answer 1

Solution:

Let x = 0.57373737...----(1)

multiply (1) by 100, we get

=> 100x = 57.373737...---(2)

multiply (2) by 100, we get

=> 10000x = 5737.373737..(3)

subtract (2) from (3) , we get

=> 9900x = 5680

=> x = 5680/9900

=> x = 568/990

=> x = 289/485 [ p/q form ]

Therefore

x = 0.573737.... = 289/485

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