Question

insert six Rational numbers between (i)

7c2627b2eeeb41b64deb020a431c9f09.docx

Answer 1

(i)$-\frac{1}{3}$ and $-\frac{2}{3}$

Ans - Multiply both by 10/10,   [*Just to get a wide range to find numbers]

=> $-\frac{1X10}{3X10}$ and $-\frac{2X10}{3X10}$

=> $-\frac{10}{30}$ and $-\frac{20}{30}$

Now just write any 6 fractions which are in between these 2 fractions

*Note that every fraction and every integer is a rational number.

Here let's take >> $-\frac{12}{30}, -\frac{15}{30}, -\frac{16}{30}, -\frac{17}{30}, -\frac{18}{30}, -\frac{19}{30}.$

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(ii) $\frac{1}{4}$ and $\frac{1}{2}$

Ans- Take LCM. >>>>>>> LCM = 4

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

Multiply both $\frac{1}{4}$ and $\frac{2}{4}$ by 10/10,  [*Just to get a wide range to find numbers]

=> $\frac{1X10}{4X10}$ and $\frac{2X10}{4X10}$

=> $\frac{10}{40}$ and $\frac{20}{40}$

Now just write any 6 fractions which are in between these 2 fractions

*Note that every fraction and every integer is a rational number.

Here let's take >> $-\frac{12}{40}, -\frac{15}{40}, -\frac{16}{40}, -\frac{17}{40}, -\frac{18}{40}, -\frac{19}{40}.$

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Hope It Helps.

Thank You.