Question

express 0.35555... in the form of p/q

Answer 1

$\Large\frak{\underline{\underline{Answer:}}}$

Let x be 0.35 ( bar on 5 )

x = 0.35555....... ( i )

Multiplying by 10 to both sides.

10 x = 3.5555........ ( ii )

Multiplying 10 again to both sides.

100 x = 35.5555........ ( iii )

Equation ( iii ) - ( ii )

100x - 10x = 35.5 ( bar on 5 ) - 3.5 ( bar on 5 )

90x = 32

x = 32/90

Hence , 0.35 (bar on 5) = 32/90

Answer 2

Answer:

let x=0.35555

10×=3.5555.....eq(1)

100×=35.5555...(2)

eq(2)-(1)

90×=32

x=32/90

x=16/45.ans