Question

8. Find ten rational numbers between 4/5 and 3/8.​

Answer 1

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

$\textsf{Rational numbers are}$

$\mathsf{\dfrac{4}{5}\;and\;\dfrac{3}{8}}$

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

$\textsf{Ten rational numbers between the given two}$

$\textsf{rational numbers}$

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

$\mathsf{Consider,}$

$\mathsf{\dfrac{4}{5}=\dfrac{4{\times}8}{5{\times}8}=\dfrac{32}{40}}$

$\mathsf{\dfrac{3}{8}=\dfrac{3{\times}5}{8{\times}5}=\dfrac{15}{40}}$

$\mathsf{Now}$

$\mathsf{\dfrac{15}{40}<\dfrac{16}{40}<\dfrac{17}{40}<\dfrac{18}{40}<\dfrac{19}{40}<\dfrac{20}{40}<\dfrac{21}{40},\dfrac{22}{40}<\dfrac{23}{40}<\dfrac{24}{40}<\dfrac{25}{40}<\dfrac{32}{40}}$

$\therefore\mathsf{Ten\;rational\;numbers\;between\;\dfrac{4}{5}\;and\;\dfrac{3}{8}\;are}$

$\mathsf{\dfrac{16}{40},\dfrac{17}{40},\dfrac{18}{40},\dfrac{19}{40},\dfrac{20}{40},\dfrac{21}{40},\dfrac{22}{40},\dfrac{23}{40},\dfrac{24}{40},\dfrac{25}{40}}$

Find more:

Find six national numbers between 3 and 4​

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