Question

1. Find three rational numbers between and -5/6 and 3/8​

Answer 1

$\underline{\textsf{Given:}}$

$\textsf{Rational numbers are}$

$\mathsf{\dfrac{-5}{6}\;\;\&\;\;\dfrac{3}{8}}$

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

$\textsf{Three rational numbers between}$

$\mathsf{\dfrac{-5}{6}\;\;\&\;\;\dfrac{3}{8}}$

$\underline{\textsf{Solution:}}$

$\textsf{Consider,}$

$\mathsf{\dfrac{-5}{6}\;\;\&\;\;\dfrac{3}{8}}$

$\texsf{First we find out the L.C.M of 6 and 8}$

$\mathsf{6=2{\times}3}$

$\mathsf{8=2^3}$

$\mathsf{L.C.M=2^3{\times}3=8{\times}3=24}$

$\textsf{Now}$

$\mathsf{\dfrac{-5}{6}=\dfrac{-5{\times}8}{6{\times}8}=\dfrac{-40}{48}}$

$\mathsf{\dfrac{3}{8}=\dfrac{3{\times}6}{8{\times}6}=\dfrac{16}{48}}$

$\textsf{Clearly}\;\mathsf{\dfrac{-40}{48}<\dfrac{1}{48}<\dfrac{2}{48}<\dfrac{3}{48}<\dfrac{16}{48}}$

$\underline{\textsf{Answer:}}$

$\textsf{Required 3 rational numbers are}$

$\mathsf{\dfrac{1}{48},\;\dfrac{2}{48},\;\dfrac{3}{48}}$

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Find three rational number between - 4/ 5 and - 6 / 7

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