Question

Сравни сумму и разность дробей с 1
1/7+7/8
2/3-4/27
25/7-7/5
5/6+7/9
3/47/12
18/12-11/9
2/13+3/4
5/13-17/52
31/12+17/24

Answer 1

$frac{1}{7} + frac{7}{8} = frac{1*8}{56} + frac{7*7}{56} = frac{8+49}{56} = frac{57}{56}=1 frac{1}{56}; 1 frac{1}{56} textgreater 1\ frac{2}{3} - frac{4}{27} = frac{2*9}{27} - frac{4}{27} = frac{18-4}{27}= frac{14}{27} ; frac{14}{27} textless 1\ frac{25}{7} - frac{7}{5} =3 frac{4}{7} -1 frac{2}{5} =2 frac{4}{7} - frac{2}{5} = frac{18}{7}- frac{2}{5}= frac{18*5}{35} - frac{2*7}{35} = frac{90-14}{35} =\= frac{76}{35} =2 frac{6}{35} ; 2 frac{6}{35} textgreater 1$
$frac{5}{6} + frac{7}{9}= frac{5*3}{18} + frac{7*2}{18} = frac{15+14}{18} = frac{19}{18} =1 frac{1}{18} ; 1 frac{1}{18} textgreater 1\ frac{18}{12} - frac{11}{9} = frac{18*3}{36} -frac{11*4}{36} =frac{54-44}{36} =frac{10}{36} ; frac{10}{36} textless 1\ frac{2}{13} +frac{3}{4}=frac{2*4}{52} +frac{3*13}{52} =frac{8+39}{52} =frac{47}{52}; frac{47}{52} textless 1\ frac{5}{13} -frac{17}{52} =frac{5*4}{52} -frac{17}{52} =frac{20-17}{52} =frac{3}{52}; frac{3}{52} textless 1$
$frac{31}{12}+ frac{17}{24} = frac{31*2}{24} +frac{17}{24} =frac{62+17}{24}=frac{79}{24} =3 frac{7}{24} ; 3frac{7}{24} textless 1$