Question

A rational number exactly half way between 1/15 and 1/12 is​

Answer 1

Answer:

3 / 40

Step-by-step explanation:

A rational number exactly half way between 1/15 and 1/12 is​ the mean of the two numbers

mean of two numbers is sum of two numbers divided by 2

so mean of 1/15 and 1/12  = { ( 1/ 15 )  + ( 1 / 12 ) }  /  2

LCM of 15 and 12 is 60

mean of 1/15 and 1/12 = { ( 4 / 60 )  + ( 5 / 60 ) } / 2

= ( 9 / 60 ) / 2

= ( 3 / 20 ) / 2

= ( 3 /  20 ) x ( 1 / 2 )

= 3 / 40

so A rational number exactly half way between 1/15 and 1/12 is​ 3 / 40