Answer:[tex]\text{0.1414... in fraction is }\frac{14}{99}[/tex]Step-by-step explanation:Given the number 0.1414...we have to represent the above in terms of fractionLet x=0.1414.... → (1)Multiplying by 100 on both sides100x=14.1414.... → (2)Subtract (1) from (2), we get[tex]99x=14[/tex][tex]x=\frac{14}{99}[/tex][tex]\text{Hence, 0.1414... in fraction is }\frac{14}{99}[/tex]