Question

Примеры с решением!!!

Answer 1

г) 
$frac{5}{24} - frac{1}{60} - frac{1}{40} = frac{5*10 - 1*4 -1*6}{240}= frac{50-10}{240}= frac{40}{240} = frac{40:40}{240:40} = frac{1}{6}$


д) 
$frac{5}{14} + frac{10}{21} -frac{3}{4} = frac{5*6}{14*6} + frac{10*4}{21*4} - frac{3*21}{4*21} = \ \ = frac{30+40-63}{84} = frac{70-63}{84} = frac{7}{84} = \ \ = frac{7:7}{84:7} = frac{1}{12}$

е)
$frac{5}{6} - frac{3}{16} + frac{5}{12} = frac{5*8}{6*8} - frac{3*3}{16*3} + frac{5*4}{12*4} = \ \ = frac{40 - 9 + 20 }{48} = frac{51}{48}= frac{51:3}{48:3}= frac{17}{16}=1 frac{1}{16}$

ж)
 $(frac{7}{10} + frac{3}{5} ) - ( frac{1}{6} +frac{2}{3} ) = \ \ = (frac{7}{10} + frac{3*2}{5*2}) - ( frac{1}{6} + frac{2*2}{3*2} )= \ \ = frac{7+6}{10} - frac{1+4}{6} = frac{13}{10} - frac{5}{6} = \ \ = frac{13*3}{10*3} - frac{5*5}{6*5} = frac{39-25}{30} = \ \ = frac{14}{30} = frac{14 :2}{30:2} = \ \ = frac{7}{15}$

з) 
$frac{2}{3} - ( frac{1}{20} + frac{2}{9}) - frac{5}{18}= frac{2*60}{3*60} - ( frac{1*9}{20*9} + frac{2*20}{9*20}) - frac{5*10}{18*10}= \ \ = frac{120}{180} - frac{9+40}{180} - frac{50}{180} = frac{120-49-50}{180} = frac{21}{180} = frac{21:3}{180:3} = frac{7}{60}$

и)
 $frac{1}{3} + frac{1}{4} + frac{1}{5} + frac{1}{6} + frac{1}{7} = frac{1*140+1*105+1*84+1*70+1*60}{420} = \ \ = frac{459}{420} = = frac{459:3}{420:3} = frac{153}{140} = 1 frac{13}{140}$

№2.
в)
 $(frac{29}{44} + frac{1}{6} ) - frac{7}{44} = frac{29}{44} + frac{1}{6} - frac{7}{44} = frac{29-7}{44} + frac{1}{6} = \ \ = frac{22}{44} + frac{1}{6} = frac{1}{2} + frac{1}{6} = frac{1*3+1}{6} = frac{4}{6} = frac{2}{3}$

г) 
$( frac{5}{18} + frac{19}{36} ) - frac{1}{36} = frac{5}{18} + frac{19}{36} - frac{1}{36}= frac{5}{18} + frac{19-1}{36} = \ \= frac{5}{18} + frac{18:2}{36:2} = frac{5+9}{18} = frac{14}{18} = frac{7}{9}$

д)
 $frac{35}{68}- ( frac{1}{68} + frac{7}{22} ) = frac{35}{68}- frac{1}{68}- frac{7}{22} = \ \ = frac{34}{68}- frac{7}{22} = frac{1}{2} - frac{7}{22} = frac{1*11-7}{22}= \ \ = frac{4}{22} = frac{2}{11}$

е)
 $frac{14}{39} - ( frac{1}{12} + frac{1}{39} )= frac{14}{39}- frac{1}{12} - frac{1}{39} = frac{14-1}{39} - frac{1}{12} = frac{13}{39}- frac{1}{12} = \ \ = frac{1}{3}- frac{1}{12} = frac{4}{12} -frac{1}{12} = frac{3}{12} = frac{1}{4}$