Question

Insert three fraction between 2/9 and 4/11

Answer 1

$\underline{\textbf{Given:}}$

$\textsf{Numbers are}$

$\mathsf{\dfrac{2}{9}\;and\;\dfrac{4}{11}}$

$\underline{\textbf{To find:}}$

$\textsf{Three rational numbers between}$

$\mathsf{\dfrac{2}{9}\;and\;\dfrac{4}{11}}$

$\underline{\textbf{Solution:}}$

$\mathsf{L.C.M\;of\;9\;and\;11\;is\;99}$

$\mathsf{\dfrac{2}{9}=\dfrac{22}{99}}$

$\mathsf{\dfrac{4}{11}=\dfrac{36}{99}}$

$\implies\mathsf{\dfrac{22}{99}<\dfrac{23}{99}<\dfrac{24}{99}<\dfrac{25}{99}<\;.\;.\;.\;.\;.<\dfrac{35}{99}<\dfrac{36}{99}}$

$\implies\mathsf{\dfrac{2}{9}<\dfrac{23}{99}<\dfrac{24}{99}<\dfrac{25}{99}<\;.\;.\;.\;.\;.<\dfrac{35}{99}<\dfrac{4}{11}}$

$\underline{\textbf{Find more:}}$

Find six national numbers between 3 and 4​

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