question_answer

If \[=\frac{7}{6}\]and \[+\frac{1}{2}=\frac{2}{3},\]find the value of .

A)  \[\frac{1}{6}\]                                   

B)  \[\frac{1}{3}\]                       

C)  1                    

D)    \[\frac{5}{6}\]

Correct Answer: C

Solution :

Given:  \[=\frac{7}{6}\]and \[+\frac{1}{2}=\frac{2}{3}\] \[\therefore \] \[=\frac{2}{3}-\frac{1}{2}=\frac{2\times 2}{3\times 2}-\frac{1\times 3}{2\times 3}=\frac{1}{6}\] Since, \[=\frac{7}{6},\]we get \[\frac{1}{6}+\]