Determine the average of the two real numbers $\frac { 3 x } { 5 }$ and $\frac { 5 x } { 9 }$ .
A) $\frac { 16 x } { 9 }$
B) $\frac { 26 x } { 45 }$
C) $\frac { 52 x } { 45 }$
D) $\frac { 2 x } { 7 }$
E) $\frac { 4 x } { 5 }$

Question

Quizplus · Accepted Answer

The average of two numbers is found by adding them together and dividing by 2. So, the average of $\frac{3x}{5}$ and $\frac{5x}{9}$ is $\frac{\frac{3x}{5} + \frac{5x}{9}}{2}$. Finding a common denominator (45) and simplifying gives $\frac{\frac{27x + 25x}{45}}{2} = \frac{52x}{90} = \frac{26x}{45}$.

Determine the Average of the Two Real Numbers 3x5\frac { 3 x } { 5 }53x​

Determine the Average of the Two Real Numbers $\frac { 3 x } { 5 }$