# What is the average of 1/20 and 1/30?

Dec 9, 2016

#### Answer:

Average of $\frac{1}{20}$ and $\frac{1}{30}$ is $\frac{1}{24}$.

#### Explanation:

Average of two numbers is half of their sum.

As the two numbers are $\frac{1}{20}$ and $\frac{1}{30}$, their sum is

$\frac{1}{20} + \frac{1}{30}$

= (1×3)/(20×3)+(1×2)/(30×2)

= $\frac{3}{60} + \frac{2}{60}$

= 5/60=(1×5)/(12×5)

= (1×cancel5)/(12×cancel5)

= $\frac{1}{12}$

As average is half of sim of two numbers,

Average of $\frac{1}{20}$ and $\frac{1}{30}$ is

1/2×1/12=1/(2×12)=1/24