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

Question

6495 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2016-12-09T10:57:56

Average of #1/20# and #1/30# is #1/24#.

Average of two numbers is half of their sum.

As the two numbers are #1/20# and #1/30#, their sum is

#1/20+1/30#

= #(1×3)/(20×3)+(1×2)/(30×2)#

= #3/60+2/60#

= #5/60=(1×5)/(12×5)#

= #(1×cancel5)/(12×cancel5)#

= #1/12#

As average is half of sim of two numbers,

Average of #1/20# and #1/30# is

#1/2×1/12=1/(2×12)=1/24#