[tex]\sf Four \: rational \: numbers \: between \\ \\ \sf \red{ \frac{ - 2}{3} } \: and \: \red{ \frac{ - 1}{2}} \\ \\ \begin{gathered}\begin{gathered}\begin{gathered}{\large \qquad \boxed{\boxed{\begin{array}{cc} \bf { \underline\red{{Rough}}}\\\\\sf 2×3=6\: \end{array}}}}\end{gathered}\end{gathered}\end{gathered}\\\\\frac{ - 2 \times 2}{3 \times 2} = \frac{ - 4}{6} \\ \\ \frac{ - 1 \times 3}{2 \times 3} = \frac{ - 3}{6} \\ \\\\ \sf Since \: we \: did \: to \: find \: four \\ \sf rational \: numbers, \: multiply \: and \\ \sf \: divide \: by \: \red 5 \\\\ \\ \sf \: \frac{ - 4}{6} \: \times \: \frac{5}{5} = \frac{ - 20}{30} \\ \\ \sf \: \frac{ - 3}{6} \: \times \: \frac{5}{5} = \frac{ - 15}{30} \\ \\ \sf \:\therefore \: Four \: rational \: numbers \: are \: \\\\ \sf\green{\frac{-16}{30}},\:\green{\frac{-17}{30}},\:\green{\frac{-18}{30}} \:and\:\green{\frac{-19}{30}}[/tex]
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[tex]\sf Four \: rational \: numbers \: between \\ \\ \sf \red{ \frac{ - 2}{3} } \: and \: \red{ \frac{ - 1}{2}} \\ \\ \begin{gathered}\begin{gathered}\begin{gathered}{\large \qquad \boxed{\boxed{\begin{array}{cc} \bf { \underline\red{{Rough}}}\\\\\sf 2×3=6\: \end{array}}}}\end{gathered}\end{gathered}\end{gathered}\\\\\frac{ - 2 \times 2}{3 \times 2} = \frac{ - 4}{6} \\ \\ \frac{ - 1 \times 3}{2 \times 3} = \frac{ - 3}{6} \\ \\\\ \sf Since \: we \: did \: to \: find \: four \\ \sf rational \: numbers, \: multiply \: and \\ \sf \: divide \: by \: \red 5 \\\\ \\ \sf \: \frac{ - 4}{6} \: \times \: \frac{5}{5} = \frac{ - 20}{30} \\ \\ \sf \: \frac{ - 3}{6} \: \times \: \frac{5}{5} = \frac{ - 15}{30} \\ \\ \sf \:\therefore \: Four \: rational \: numbers \: are \: \\\\ \sf\green{\frac{-16}{30}},\:\green{\frac{-17}{30}},\:\green{\frac{-18}{30}} \:and\:\green{\frac{-19}{30}}[/tex]