Question

Find the 5 rational numbers between 5/7and 6/7

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Answer 1

5/7 and 6/7 we have to find 5 rational

So, 5+1 =6

Then, 5/7= 5/7*6/6= 30/42

6/7= 6/7*6/6= 36/42

It is clear, 31/42,32/42,33/42,34/42,35/42 it is the answer of this question

Answer 2

Answer:

31/42, 16/21, 11/14, 17/21 and 35/42.

Step by step explanation:

Let here x= 5/7,y= 6/7 and n= 5.

We know that d= (y-x)/(n+1)

d= (6/7-5/7)/5+1

=( 1/7)/6

= 1/7 ÷ 6

= 1/42

• First number:- x+d= 5/7 + 1/42= (30+1)/42=31/42
• Second number:- x+2d= 5/7+2(1/42)=5/7+1/21=(15+1)/21= 16/21
• Third number:- x+3d = 5/7+3(1/42)= 5/7+1/14= 11/14
• Fourth number:- x+4d =5/7+4(1/42) =5/7+2/21 =17/21
• Fifth number:- x+5d =5/7+5(1/42) =5/7+5/42=35/42.