Question

find three rational number between

Answer 1

Hi friend, Harish here.

Here is your answer:

i) First we should make the denominators equal.

So, LCM Of denominators = LCM (2,4) = 4.

So,
$\frac{1}{2} = \frac{1\times 2}{2\times 2} = \frac{2}{4}$

$\frac{1}{4}= \frac{1}{4}$

Now we must  three rational numbers between them.

So, We must multiply and divide both the numbers by 4.  

Then,
 
→ $\frac{2}{4} \times \frac{4}{4}= \frac{8}{16}$

→ $\frac{1}{4}\times \frac{4}{4}= \frac{4}{16}$

So, three rational numbers between them are:

$\frac{7}{16} , \frac{6}{16} , \frac{5}{16}$
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ii) Here. The two numbers given are:

$\frac{1}{6} \ and \ \frac{5}{6}$

Three rational numbers between them are:

$\frac{2}{6} , \frac{3}{6} , \frac{4}{6}$
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Hope my answer is helpful to you.