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ગણિત ધોરણ 9 પ્રથમ સત્ર

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bold 2 over bold 5 bold space bold અન ે bold space bold 3 over bold 7 વચ્ચેની ચાર સંમેય સંખ્યાઓ શોધો.


bold 2 over bold 5 bold space bold equals bold space fraction numerator bold 2 bold space bold cross times bold space bold 7 over denominator bold 5 bold space bold cross times bold space bold 7 end fraction bold space bold equals bold space bold 14 over bold 35 bold space bold equals bold space fraction numerator bold 14 bold space bold cross times bold space bold 5 over denominator bold 35 bold space bold cross times bold space bold 5 end fraction bold space bold equals bold space bold 70 over bold 175


bold 3 over bold 7 bold space bold equals bold space fraction numerator bold 3 bold space bold cross times bold space bold 5 over denominator bold 7 bold space bold cross times bold space bold 5 end fraction bold space bold equals bold space bold 15 over bold 35 bold space bold equals bold space fraction numerator bold 15 bold space bold cross times bold space bold 5 over denominator bold 35 bold space bold cross times bold space bold 5 end fraction bold space bold equals bold space bold 75 over bold 175



હવે,  bold 70 over bold 175 bold space bold અન ે bold space bold 75 over bold 175 વચ્ચેની ચાર સંમેય સંખ્યાઓ bold 71 over bold 175 bold comma bold space bold 72 over bold 175 bold comma bold space bold 73 over bold 175 bold comma bold space bold 74 over bold 175 છે.

4 અને 6 વચ્ચેની ત્રણ સંમેય સંખ્યાઓ શોધો.


પહેલી સંમેય સંખ્યા = fraction numerator bold 4 bold space bold plus bold space bold 6 over denominator bold 2 end fraction bold space bold equals bold space bold 10 over bold 2 bold space bold equals bold space bold 5 bold space bold equals bold space bold 5 over bold 1


બીજી સંમેય સંખ્યા = fraction numerator bold 4 bold space bold plus bold space bold 5 over denominator bold 2 end fraction bold space bold equals bold space bold 9 over bold 2


ત્રીજી સંમેય સંખ્યા = fraction numerator bold 5 bold space bold plus bold space bold 6 over denominator bold 2 end fraction bold space bold equals bold space bold 11 over bold 2

3, -5 અને -3.5 સંમેય સંખ્યાઓ છે ? જો હા, તો તેને bold p over bold q સ્વરૂપમાં દર્શાવો ; જ્યાં bold p bold space bold element of bold space bold Z bold comma bold space bold q bold space bold element of bold space bold N bold.


3, -5 અને -3.5 સંમેય સંખ્યાઓ છે.

bold 3 bold space bold ન ે bold space bold p over bold q bold space bold સ ્ વર ૂ પમ ાં bold space bold 3 over bold 1 bold space bold semicolon bold space bold જ ્ ય ાં bold space bold 3 bold space bold element of bold space bold Z bold space bold અન ે bold space bold 1 bold space bold element of bold space bold N bold.

bold minus bold 5 bold space bold ન ે bold space bold p over bold q bold space bold સ ્ વર ૂ પમ ાં bold space fraction numerator bold minus bold 5 over denominator bold 1 end fraction bold space bold semicolon bold space bold જ ્ ય ાં bold space bold minus bold 5 bold space bold element of bold space bold Z bold space bold અન ે bold space bold 1 bold space bold element of bold space bold Z bold space bold અન ે bold space

bold minus bold 3 bold. bold 5 bold space bold ન ે bold space bold p over bold q bold space bold સ ્ વર ૂ પમ ાં bold space bold minus bold 35 over bold 10 bold space bold એટલ ે bold space bold ક ે bold space fraction numerator bold minus bold 7 over denominator bold 2 end fraction bold space bold semicolon bold space bold જ ્ ય ાં bold space bold minus bold 7 bold space bold element of bold space bold Z bold space bold અન ે bold space bold 2 bold space bold element of bold space bold N bold.


-2 અને 5 વચ્ચેની છ સંમેય સંખ્યા શોધો.


પહેલી સંમેય સંખ્યા bold equals bold space fraction numerator bold minus bold 2 bold space bold plus bold space bold 5 over denominator bold 2 end fraction bold space bold equals bold space bold 3 over bold 2


બીજી સંમેય સંખ્યા  bold equals bold space fraction numerator bold minus bold 2 bold space bold plus bold space begin display style bold 3 over bold 2 end style over denominator bold 2 end fraction bold space bold equals bold space fraction numerator bold minus bold 4 bold space bold plus bold space bold 3 over denominator bold 4 end fraction bold space bold equals bold space fraction numerator bold minus bold 1 over denominator bold 4 end fraction


ત્રીજી સંમેય સંખ્યા bold equals bold space fraction numerator bold 5 bold space bold plus bold space begin display style bold 3 over bold 2 end style over denominator bold 2 end fraction bold space bold equals bold space fraction numerator bold 10 bold space bold plus bold space bold 3 over denominator bold 4 end fraction bold space bold equals bold space bold 13 over bold 4



ચોથી સંમેય સંખ્યા = fraction numerator bold minus bold 2 bold space bold plus bold space open parentheses bold minus begin display style bold 1 over bold 4 end style close parentheses over denominator bold 2 end fraction bold space bold equals bold space fraction numerator bold minus bold 8 bold space bold minus bold space bold 1 over denominator bold 8 end fraction bold space bold equals bold space fraction numerator bold minus bold 9 over denominator bold 8 end fraction bold space bold equals bold space bold minus bold 9 over bold 8



પાંચમી સંમેય સંખ્યા  bold equals bold space fraction numerator bold 5 bold space bold plus bold space begin display style bold 13 over bold 4 end style over denominator bold 2 end fraction bold space bold equals bold space fraction numerator bold 20 bold space bold plus bold space bold 13 over denominator bold 8 end fraction bold space bold equals bold space bold 33 over bold 8



છઠ્ઠી સંમેય સંખ્યા = bold equals bold space fraction numerator bold 5 bold space bold plus bold space open parentheses bold minus begin display style bold 1 over bold 4 end style close parentheses over denominator bold 2 end fraction bold space bold equals bold space fraction numerator bold 20 bold space bold minus bold space bold 1 over denominator bold 8 end fraction bold space bold equals bold space bold 19 over bold 8

bold 2 over bold 7 bold space bold અન ે bold space bold 4 over bold 9 વચ્ચેની બે સંમેય સંખ્યાઓ શોધો.


bold 2 over bold 7 bold space bold equals bold space fraction numerator bold 2 bold space bold cross times bold space bold 9 over denominator bold 7 bold space bold cross times bold space bold 9 end fraction bold space bold equals bold space bold 18 over bold 63 bold space bold અન ે bold space bold 4 over bold 9 bold space bold equals bold space fraction numerator bold 4 bold space bold cross times bold space bold 7 over denominator bold 9 bold space bold cross times bold space bold 7 end fraction bold space bold equals bold space bold 28 over bold 63


હવે, bold 19 over bold 63 bold comma bold space bold 20 over bold 63 bold comma bold space bold 21 over bold 63 bold comma bold space bold 22 over bold 63 bold comma bold space bold 22 over bold 63 bold comma bold space bold 24 over bold 63 bold comma bold space bold 25 over bold 63 bold comma bold space bold 26 over bold 63 bold comma bold space bold 27 over bold 63  એ નવ સંમેય સંખ્યાઓ bold 18 over bold 63 bold space bold અન ે bold space bold 28 over bold 63 વચ્ચે છે.


આમ, bold 19 over bold 63 bold space bold અન ે bold space bold 24 over bold 63  એમ બે સંખ્યાઓ bold 2 over bold 7 bold space bold અન ે bold space bold 4 over bold 9 ની વચ્ચે છે.