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Question

Find a rational number exactly halfway between

16 and 19

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Solution

We know that, a rational number, which is halfway between two rational number a and b is given as a+b2

Given rational numbers are 16 and 19
Here, a=16 and b=19

a+b2=16+192=1×36×3+1×29×22

=318+2182

=3+2182

=5182

=518×2

=536

Therefore, a rational number exactly halfway between 16 and 19 is 536.


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