Question

A maths query.
Find four rational numbers between 2/3 and 3/5 .

Answer 1

To find four rational between 2/3 and 3/5, We first find the LCM of the denominators ,i.e., 3 and 5.
The LCM of 3 and 5 is 15.
Hence we multiply both the denominators to get the LCM i.e. 15.
2/3*5/5=10/15
3/5*3/3=9/15
Now we multiply both the numbers' numerator and denominator by any number.
10/15*10/10=100/150
9/15*10/10=90/150
∴90/150<91/50<92/150<93/150<94/150<95/150<96/150<97/150<98/150<99/150<100/150.
Choose any 4 between 90/150 and 100/150.
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