Question

write two rational numbers between 2/11 and 1/6​

Answer 1

Answer:

$formulae \: to \: find \: rational \\ \: number \: between \: two \: number \\ = \frac{sum \: of \: both \: numbers}{2} \\ rational \: no. \: one \: = (\frac{2}{11} + \frac{1}{6} ) \times \frac{1}{2 } \\ lcm \: of \: denominators = 66 \\ (\frac{2}{11} + \frac{1}{6} ) \times \frac{1}{2} = \frac{23}{66} \times \frac{1}{2} = \frac{23}{132} \\ rational \: number \: 2 = (\frac{1}{6} + \frac{23}{132} ) \times \frac{1}{2 } \\l cm \: of \: denomimators = 132 \\ ( \frac{1}{6} + \frac{23}{132} ) \times \frac{1}{2} = \frac{45}{132}$

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