turkey-yks 2016 Q14

turkey-yks · Other · ygs Not Maths
An operation is defined on the set of positive real numbers as
$$a \bullet b = \frac { a \cdot b } { a + b }$$
Given that
$$\frac { 1 } { 2 } \bullet \frac { 3 } { 4 } = 3 \bullet \frac { 1 } { x }$$
what is $x$?
A) $\frac { 3 } { 2 }$
B) $\frac { 9 } { 4 }$
C) 2
D) 3
E) 5
An operation is defined on the set of positive real numbers as

$$a \bullet b = \frac { a \cdot b } { a + b }$$

Given that

$$\frac { 1 } { 2 } \bullet \frac { 3 } { 4 } = 3 \bullet \frac { 1 } { x }$$

what is $x$?\\
A) $\frac { 3 } { 2 }$\\
B) $\frac { 9 } { 4 }$\\
C) 2\\
D) 3\\
E) 5