10 rational no. between 3/5and3/4
Answers
Answer:
HEY MATE !!
HERE IS UR ANS ⤵⤵
3/6, 3/7, 3/8, 3/9, 3/10, 3/11, 3/12, 3/13, 3/14,
3/15
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Answer:
Question ⤵⤵
10 rational no. between 3/5and3/4 ?
Answer ⤵⤵
Here ,
Let x = 3/5 , and let y = 3/4 and n be 10
Now,
Let d = ( y - x ) = (3/4 - 3/5 )
(n + 1 ) = ( 10 + 1 )
= ( 0.75 - 0.6 ) = 1.35
11 11
Then , required rational numbers are :-
(x + d) , (x + 2d ) , (x + 3d ) , ( x + 4d ) , ( x + 5d ) ,
( x + 6d) , ( x + 7d ) , ( x + 8d ) , (x + 9d ) , (x + 10d).
i.e.
- (x + d) => 3/5+ 1.35 / 11 = 40/55
- (x + 2d ) => 3/5 + 2× 1.35/11 = 47 / 55
- (x + 3d ) => 3/5 + 3× 1.35 /11 = 53/55
- ( x + 4d ) => 3/5 + 4 × 1.35 / 11 = 60/55
- ( x + 5d ) => 3/5 + 5 × 1.35 / 11 = 67/55
- ( x + 6d) => 3/5 + 6× 1.35 / 11 = 74/55
- ( x + 7d ) => 3/5 + 7 × 1.35 / 11 = 80 /55
- ( x + 8d ) => 3/5 + 8× 1.35 /11 = 87/55
- (x + 9d ) => 3/5 + 9× 1.35 / 11 = 94/55
- (x + 10d) => 3/5 + 10 × 1.35 / 11 = 100/55
- Know what is rational Number :--
All the numbers which can be written in the form p/q , where p n q are all integers and q is not equal to zero , is called a rational number.
- Know the above method :--
Let x and y be any rational number in which x < y. Now , think we have to find n rational number between x and y.
then ,
Let d = ( y - x )
(n + 1 )
So , n rational number lying between x and y will be :--
(x + d) , (x + 2d ) , (x + 3d ) ..., infinite