Question

convert 1.385 (bar on 85) into rational no.

Answer 1

Heya !!



1.385 ( bar on 85 )



Let X = 1.385


Then X = 1.38585 ------(1)



Multiply equation (1) by 10 we get,



10X = 13.8585 --------(2)



Again multiply equation (2) by 100 we get,


1000X = 1385.8585 --------(3)



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



1000X = 1385.8585

10X = 13.8585

-----------------------------


990X = 1372



X = 1372/990 = 686/495 [ P/Q form ]



Hence,


1.385 ( bar on 85) is of the form of 686/495 which is in the form of P/Q.