Question

Represent decimal 5.212121.... in p/q form

Answer 1

let x = 5.21 put a line on 21 which represent it repeats in finately

x=5.212121.............................              eq.1

we have to multiply 100 by eq.1

100*x = 100*5.212121............

100x =521.212121..................      eq.2

subtracting eq.2 from eq.1

100x =521.212121....................

-     x=5.212121.........................

99x=516

x=516/99

hence 5.212121 is represtented i form of p/q i.e. x=516/99

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