If a/b=7/6 , then find the value of the expression (6a+13b)/(6a-13b) .

If a/b=7/6 , then find the value of the expression…

If $\frac{a}{b}=\frac{7}{6}$ , then find the value of the expression $\frac{6a+13b}{6a-13b}$ .

Show answer & explanation

Correct answer: C

Explanation

The correct answer is option 3 i.e. $-\frac{10}{3}$ .

a/b = 7/6

⇒ a = (7/6)b

Now, $\frac{6a+13b}{6a-13b}$ = [6(7/6)b + 13b]/[6(7/6)b - 13b]

= (7b + 13b)/(7b - 13b)

= 20b/(-6b)

= -10/3

Therefore, the value of the expression is -10/3.