Question

which among the following rational lies between 3/5 and 4/5?
a) 7/10
b) 3/10
c) 4/10
d) 5/10​

Answer 1

Answer:

option a is the correct answer.

because 3/5=0.6

4/5=0.8.

and7/10=0.7

please select my answer as brainlist and also thanks me

Answer 2

Answer:

a) 7/10

Step-by-step explanation:

Hey !!

X = 3/5 and Y = 4/5.

Then, 3/5 < 4/5 , since ( 3 × 5 ) < ( 5 × 4 )

Therefore, X < Y and n = 5

Let D = ( Y - X / n + 1 ) = ( 4/5 - 3/5 ) / ( 5 + 1 ) = ( 1/5 × 1/6 ) = 1/30.

Then, required rational numbers are :

( X + D ) , ( X + 2D ) , ( X + 3D ) , ( X +4D ) and ( X + 5D ).

I.e , ( 3/5 + 1/20 ) , ( 3/5 + 2/20 ) , ( 3/5 + 3/20 ) , ( 3/5 + 4/20 ) and ( 3/5 , 5/20 ) .

I.e , 19/30 , 20/30 , 21/30 , 22/30 , 23/30.

i.e 19/30 , 2/3 , 7/10 , 11/15 , 23/30.

 Hence,

The required rational numbers between 3/5 and 4/5 are : 19/30 , 2/3 , 7/10 , 11/15 and 23/30.