Question

find three rational number between 1 / 6 and 1 / 5 using mean method​

Answer 1

Step-by-step explanation:

The rational numbers between

$\frac{1}{6} \: and \: \frac{1}{5} \\ using \: mean \: method \: \\ \frac{1}{6} + \frac{1}{5} \div 2 \\ \frac{5 + 6}{30} \div 2 \\ \frac{11}{30} \times \frac{1}{2} \\ = \frac{11}{60} \\ mean \: another \: two \: numbers \: \\ \frac{1}{6} + \frac{11}{60} \div 2 \\ \frac{10 + 11}{60} \div 2 \\ \frac{21}{60} \times \frac{1}{2} \\ = \frac{7}{20} \times \frac{1}{2} \\ = \frac{7}{40} \\ mean \: of \: other \: two \: \: numbers \: \\ \frac{11}{60} + \frac{7}{40} \div 2 \\ \frac{22 + 21}{120} \\ = \frac{43}{120} \\ \frac{11}{60} and \: \frac{7}{40} and \: \frac{43}{120} are \: three \: rational \: numbers \: .$