Question

Express 1.23535353..... in the form of p by q, where p, q integer z, q not equal to 0

Answer 1

Heya !!!


1.235 ( bar on 35)


Let X = 1.235


Then X = 1.23535 --------(1)


Multiply equation (1) by 10 we get,


10X = 12.3535 -------(2)


Again multiply equation (2) by 100 we get,


1000X = 1235.3535 ----(3)


Subtract equation (2) from equation (3) we get,




1000X = 1235.3535
10X = 12.35353

______________


990X = 1223


X = 1223/990


Hence,


1.235 ( bar on 35) is of the form of 1223/990 which is in the form of P/Q.




HOPE IT WILL HELP YOU..... :-)

Answer 2

Let's assume
x = 1.2353535.... then
100x = 123.5353535.....

100x-x = 122.3
99x = 122.3
x = 122.3/99
x = 1223/990