3. Insert
(i) two rational numbers between 5/6 and 6/5
(ii)three rational numbers between 3/7 and 1/11

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Solution

Dear student
(i)
$F i r s t f i n d t h e L C M S o K C M o f 5 a n d 6 i s 30 S o w e w r i t e t h e s e t w o f r a c t i o n s a s \frac{5 \times 5}{6 \times 5} a n d \frac{6 \times 6}{5 \times 6} \frac{25}{30} a n d \frac{36}{30} S o b a s i c a l l y w e a r e t r y i n g t o f o n d t w o r a t i o n a l n u m b e r s b e t w e e n \frac{25}{30} a n d \frac{36}{30} S o t w o r a t i o n a l n u m b e r s b e t w e e n \frac{25}{30} a n d \frac{36}{30} a r e \frac{26}{30} a n d \frac{27}{30}$
Similarly do the next part.
Regards

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Similar questions

Two rational numbers between $\frac{2}{3}$ and $\frac{5}{3}$ are

(a) $\frac{1}{6}$ and $\frac{2}{6}$
(b) $\frac{1}{2}$ and $\frac{2}{1}$
(c) $\frac{5}{6}$ and $\frac{7}{6}$
(d) $\frac{2}{3}$ and $\frac{4}{3}$

Question 101 (i)

Insert 3 eqivalent rational numbers between $\frac{- 1}{2}$ and $\frac{1}{5}$ .

5

\frac{3}{5}

\frac{6}{5}

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