Question

Express (1 by 2 + 3 by 4) divide by 2 as a rational number and show that it lies between 1 by 2 and 3 by 4​

Answer 1

(1/2+3/4)=5/4=1.25

now,

1.25/2=0.625

now 1/2=.5 and 3/4=.75.

hence .625lies between .5 and .75

Answer 2

Answer:

$\frac{( \frac{1}{2}+\frac{3}{4} ) }{2} =\frac{2+3}{8}=\frac{5}{8}$

We know that    $\frac{1}{2}$  =  $\frac{4}{8}$    

                            $\frac{3}{4} =\frac{6}{8}$

So $\frac{5}{8}$ lies between  $\frac{4}{8}$ and  $\frac{6}{8}$ .

     $\frac{4}{8}$ < =  $\frac{5}{8}$ < =  $\frac{6}{8}$

Hence shown.

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