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  • Find atleast 5 numbers between 1 by 2 and 1 by 3 .

2. Find atleast 5 numbers between 1/2 and 1/3 

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Given number are :  \frac{1}{2} and \frac{1}{3}

Their average = \frac{\frac{1}{2} + \frac{1}{3}}{2} = \frac{3+2}{2\times6} = \frac{5}{12}

Average between \frac{5}{12}\ and\ \frac{1}{3} =  \frac{\frac{5}{12} + \frac{1}{3}}{2} = \frac{5+4}{2\times12} = \frac{9}{24}= \frac{3}{8}

Average between \frac{5}{12}\ and\ \frac{1}{2} =   \frac{\frac{5}{12} + \frac{1}{2}}{2} = \frac{5+6}{2\times12} = \frac{11}{24}

Average between \frac{11}{24}\ and\ \frac{1}{2} =  \frac{\frac{11}{24} + \frac{1}{2}}{2} = \frac{11+12}{2\times24} = \frac{23}{48}

Average between  \frac{9}{24}\ and\ \frac{1}{3} = \frac{\frac{9}{24} + \frac{1}{3}}{2} = \frac{9+8}{2\times24} = \frac{17}{48}

Therefore, 5 numbers between  \frac{1}{2} and \frac{1}{3} are:

\frac{17}{48},\frac{23}{48},\frac{5}{12},\frac{11}{24},\frac{9}{24}

 

Posted by

HARSH KANKARIA

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