Q.Find 5 rational numbers between 1/3 and 2/3
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The number of rational numbers between any two numbers are infinite.
There are no rational numbers between 1/3 and 2/3
As their denominators are same we can multiply by some number to find some numbers in between.
As it’s given that we have to find 5 rational numbers we have to multiply by 5.
1/3*5/5=5/15
2/3*5/5=10/15
There are only four so we shall multiply by the next number which is 6.
1/3*6/6=6/18
2/3*6/6=12/18
Now there are exactly five numbers in between which are 7/18,8/18,9/18,10/18 ,11/18
There are no rational numbers between 1/3 and 2/3
As their denominators are same we can multiply by some number to find some numbers in between.
As it’s given that we have to find 5 rational numbers we have to multiply by 5.
1/3*5/5=5/15
2/3*5/5=10/15
There are only four so we shall multiply by the next number which is 6.
1/3*6/6=6/18
2/3*6/6=12/18
Now there are exactly five numbers in between which are 7/18,8/18,9/18,10/18 ,11/18
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