Find five rational numbers between 3/5 and 4/5

Question – Find five rational numbers between 3/5 and 4/5

Solution –

We will find five rational numbers between 3/5 and 4/5 by following the steps below:

Step (I) To find five rational numbers between 3/5 and 4/5, we will divide and multiply both numbers by 5 x (5+1) = 30

Thus,

3/5 = (3 x 6)/(5 x 6) = 18/30

Similarly, 4/5 = (4 x 6)/(5 x 6) = 24/30

Step (II) Write the numbers between the given numbers as-

The numbers in between 18/30 and 24/30 are rational and will lie between 3/5 and 4/5

19/30, 20/30, 21/30, 22/30, 23/30 lies between 18/30 and 24/30

Hence,19/30, 20/30, 21/30, 22/30, 23/30 will also lie between 3/5 and 4/5

or , 19/30, 2/3, 7/30, 11/15, 23/30 in their simplest forms respectively.

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