Question

find a rational number between -1/3 and 1/4

Answer 1

Lcm =12
-1/3×4/4=-4/12
1/4×3/3 =3/12
The rational no.'s are -3/12, -2/12, -1/12, 1/12,2/12.
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Answer 2

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Q- RATIONAL NUMBER BETWEEN -1/3 n 1/4

$\binom{ - 1}{3} + \binom{1}{4} = \binom{ - 4 + 3}{12} = \binom{ - 1}{12} \\ therefore( \binom{ - 1}{3} + \binom{1}{4} + 1 = \binom{ - 1}{12} + 1 = \binom{ - 1 + 12}{12} = \binom{11}{12} \\ \\ thus \: the \: required number \: is \: \binom{11}{12}$

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