. Find three rational numbers between
(i) -1 and -2
(ii) 0.1 and 0.11
(iii) 5/7 and 6/7
(iv) 1/4 and 1/5
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Step-by-step explanation:
i) -1 and -2
To find three rational numbers multiple by 4/4
-1 × 4/4 = -4/4. -2 × 4/4 = -8/4
Three rational numbers between -1 and -2 are :- -5/4 , -6/4 , -7/4
(ii) 0.1 and 0.11
Similar as explained above
(iii) 5/7 and 6/7
Similar as explained above
(iv) 1/4 and 1/5
Since the denominators are different we have to take LCM first.
L.C.M if 4 and 5 is 20
1/4 × 5/5 = 5/20. 1/5 × 4/4 = 4/20
Now to find three rational number multiply by 4/4
5/20 × 4/4 = 20/80. 4/20 × 4/4 = 16/80
Three rational numbers between 1/4 and 1/5 are :-
19/80,18/80,17/80
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