Question

Find two rational numbers between 3/5 and -1/2 using mean method.

Answer 1

Step-by-step explanation:

Given :-

Two numbers are 3/5 and -1/2

To find :-

Find two rational numbers between 3/5 and -1/2 using mean method.

Solution :-

Given numbers are 3/5 and -1/2

We know that

Mean Method :

The rational number between the two numbers a and b is (a+b)/2

Let a = 3/5 and b = -1/2

The rational number between 3/5 and -1/2

=> [(3/5)+(-1/2)]/2

LCM of 5 and 2 is 10

=>[{(3×2)+(-1×5)}/10]/2

=>[(6-5)/10]/2

=> (1/10)/2

=> 1/(10×2)

=> 1/20

Again by using Mean method

Let a = 3/5 and b= 1/20

The rational number between 3/5 and 1/20

=> [(3/5)+(1/20)]/2

=> [ {(3×4)+(1×1)}/20]/2

=> [(12+1)/20]/2

=> (13/20)/2

=> 13/(20×2)

=> 13/40

Therefore, required numbers are 1/20 , 13/40

Answer :-

The required rational numbers between 3/5 and -1/2 are 1/20 and 13/40

Used formulae:-

Mean Method:-

The rational number between the two numbers a and b is (a+b)/2