Сравни дроби и запиши доказательство строго по образцу: а) \cfrac{-5}{28} \gt \cfrac{-4}{21}, так как \cfrac{^{3/}-5}{28}=\cfrac{-15}{84}, \cfrac{^{4/}-4}{21}=\cfrac{-16}{84} и \cfrac{-15}{84} \gt \cfrac{-16}{84}; б) \dfrac{5}{6} \dfrac{17}{20}, так как \dfrac{5}{6}= , \dfrac{17}{20}= и ; в) \dfrac{-13}{14} \dfrac{-29}{35}, так как \dfrac{-13}{14}= , \dfrac{-29}{35}= и ; г) \dfrac{-7}{20} \dfrac{-8}{25}, так как \dfrac{-7}{20}= , \dfrac{-8}{25}= и ; д) \dfrac{12}{49} \dfrac{13}{56}, так как \dfrac{12}{49}= , \dfrac{13}{56}= и ; е) \dfrac{-15}{14} \dfrac{-7}{6}, так как \dfrac{-15}{14}= , \dfrac{-7}{6}= и ; ж) \dfrac{-15}{28} \dfrac{-17}{16}, так как \dfrac{-15}{28}= , \dfrac{-17}{16}= и .
Задание

Заполни пропуски

Сравни дроби и запиши доказательство строго по образцу:

а) \(\cfrac{-5}{28} \gt \cfrac{-4}{21}\) , так как \(\cfrac{^{3/}-5}{28}=\cfrac{-15}{84}\) , \(\cfrac{^{4/}-4}{21}=\cfrac{-16}{84}\) и \(\cfrac{-15}{84} \gt \cfrac{-16}{84}\) ;

б) \(\dfrac{5}{6}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{17}{20}\) , так как \(\dfrac{5}{6}=\) [ ], \(\dfrac{17}{20}=\) [ ] и [ ][ \(\gt\) | \(\lt\) | \(=\) ][ ];

в) \(\dfrac{-13}{14}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{-29}{35}\) , так как \(\dfrac{-13}{14}=\) [ ], \(\dfrac{-29}{35}=\) [ ] и[ ][ \(\gt\) | \(\lt\) | \(=\) ][ ];

г) \(\dfrac{-7}{20}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{-8}{25}\) , так как \(\dfrac{-7}{20}=\) [ ], \(\dfrac{-8}{25}=\) [ ] и[ ][ \(\gt\) | \(\lt\) | \(=\) ][ ];

д) \(\dfrac{12}{49}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{13}{56}\) , так как \(\dfrac{12}{49}=\) [ ], \(\dfrac{13}{56}=\) [ ] и[ ][ \(\gt\) | \(\lt\) | \(=\) ][ ];

е) \(\dfrac{-15}{14}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{-7}{6}\) , так как \(\dfrac{-15}{14}=\) [ ], \(\dfrac{-7}{6}=\) [ ] и[ ][ \(\gt\) | \(\lt\) | \(=\) ][ ];

ж) \(\dfrac{-15}{28}\) [ \(\gt\) | \(\lt\) | \(=\) ] \(\dfrac{-17}{16}\) , так как \(\dfrac{-15}{28}=\) [ ], \(\dfrac{-17}{16}=\) [ ] и[ ][ \(\gt\) | \(\lt\) | \(=\) ][ ].