Question

express 0.35 in the form of p/q (there is a bar upon 5)

Answer 1

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

Let x be =0.35
10x=3.5(5bar)
100x=35.5 (5bar)

Substracting eq 1 from eq 2
100x=35.5
-10x=3.5
=9ox=32
X=32\90=16/45