Сравните значения выражений:
а) $\frac{7}{12} + \frac{1}{24}$ и $\frac{3}{7}$;
б) $\frac{11}{15} + \frac{7}{30}$ и $\frac{3}{4}$;
в) $\frac{3}{16} + \frac{7}{10}$ и $\frac{3}{10} + \frac{3}{8}$.
$\frac{7}{12} + \frac{1}{24}$ и $\frac{3}{7}$
$\frac{7}{12} + \frac{1}{24} = \frac{14}{24} + \frac{1}{24} = \frac{15}{24} = \frac{5}{8} = \frac{35}{56}$
$\frac{3}{7} = \frac{24}{56}$
$\frac{35}{56} > \frac{24}{56}$, значит:
$\frac{7}{12} + \frac{1}{24} > \frac{3}{7}$
$\frac{11}{15} + \frac{7}{30}$ и $\frac{3}{4}$
$\frac{11}{15} + \frac{7}{30} = \frac{22}{30} + \frac{7}{30} = \frac{29}{30} = \frac{58}{60}$
$\frac{3}{4} = \frac{45}{60}$
$\frac{58}{60} > \frac{45}{60}$, значит:
$\frac{11}{15} + \frac{7}{30} > \frac{3}{4}$
$\frac{3}{16} + \frac{7}{10}$ и $\frac{3}{10} + \frac{3}{8}$
$\frac{3}{16} + \frac{7}{10} = \frac{15}{80} + \frac{56}{80} = \frac{71}{80}$
$\frac{3}{10} + \frac{3}{8} = \frac{12}{40} + \frac{15}{40} = \frac{27}{40} = \frac{54}{80}$
$\frac{71}{80} > \frac{54}{80}$, значит:
$\frac{3}{16} + \frac{7}{10} > \frac{3}{10} + \frac{3}{8}$