Question

Найди значение выражений:а)2 4/5+4 2/3)*3 3/4:7 1/5, б) (4 2/3-3/7)*2 5/8:9 8/9, в)(4 4/5:1 1/5-1 1/2)*1 3/5, г) (4 3/5+1 1/3):8 9/10*7 1/3, д) (3/7-1 1/3)*21/86:7  2/5, е) (3/7*33/40+5/6):1 11/12, ж) (6 7/12-3 17/36)*1/2-4 1/3:13/20, з) (1 11/24+13/36)*1 11/25-8/15*9/16, и) 2 1/2*48-3 2/3:1/18+5 5/12:7/36, к) 6 1/4:1/8-3 2/3*5 1/2+2 2/5*4 7/12.

Answer 1

а) $(2 frac{4}{5} + 4 frac{2}{3}) * 3 frac{3}{4} : 7 frac{1}{5} =$
= $(2 frac{12}{15} + 4 frac{10}{15}) * frac{15}{4} : frac{36}{5}$ =
= $6 frac{22}{15} * frac{15}{4} * frac{5}{36}$ =
= $frac{28}{1} * frac{5}{36}$ =
= $3 frac{32}{36} = 3 frac{8}{9}$

б) $(4 frac{2}{3} - frac{3}{7}) * 2 frac{x5}{8} : 9 frac{8}{9}$ =
= $(4 frac{14}{21} - frac{9}{21}) * frac{21}{8} : frac{89}{9}$ =
= $4 frac{5}{21} * frac{21}{8} * frac{9}{89}$ =
= $frac{89}{8} * frac{9}{89}$ =
= 9/8 = 1 1/8

в) ($(4 frac{4}{5}) : 1 frac{1}{5} - 1 frac{1}{2}) * 1 frac{3}{5}$ =
= $( frac{24}{5} * frac{5}{6} - 1 frac{1}{2} * frac{8}{5}$ =
= $(4 - 1 frac{1}{2}) * frac{8}{5}$ = 2 1/2 * 8/5 =
= 5/2 * 8/5 = 4

г) $(4 frac{3}{5} +1 frac{1}{3}) : 8 frac{9}{10} * 7 frac{1}{3}$ =
= (4$frac{9}{15} + 1 frac{5}{15}) : frac{89}{10} * frac{22}{3}$ =
= 5$frac{15}{15} * frac{10}{89} * frac{22}{3}$ =
= $frac{89}{15} * frac{10}{89} * frac{22}{3}$ =
= $frac{2}{3} * frac{22}{3} = frac{44}{9} = 4 frac{8}{9}$

д) ($( frac{3}{7}) - 1 frac{1}{3}) * frac{21}{86} : 7 frac{2}{5}$ =
= ($frac{9}{21} - 1 frac{7}{21}) * frac{21}{86} : frac{37}{5}$ =
= $(- frac{19}{21}) * frac{21}{86} * frac{5}{37}$ =
= $- frac{19}{86} * frac{5}{37} = - frac{95}{3182}$

е) $( frac{3}{7} * frac{33}{40} + frac{5}{6}) : 1 frac{11}{12}$ =
= $( frac{99}{280} + frac{5}{6}) : frac{23}{12}$ =
= $frac{594}{1680} + frac{1400}{1680} * frac{12}{23}$ =
= $frac{1994}{1680} * frac{12}{23} = frac{1994}{3220} = frac{997}{1610}$

ж) ($(6 frac{7}{12} - 3 frac{17}{36}) * frac{1}{2} - 4 frac{1}{3} : frac{13}{20}$ =
= $(6 frac{21}{36} - 3 frac{17}{36}) * frac{1}{2} - 4 frac{1}{3} * frac{20}{13}$ =
= $3 frac{1}{9} * frac{1}{2} - frac{13}{3} * frac{20}{13}$ =
= $frac{28}{9} * frac{1}{2} - frac{20}{3}$ =
= $frac{14}{9} - frac{20}{3} = frac{14}{9} - frac{60}{9} = - frac{46}{9} = -5 frac{1}{9}$

з) ($(1 frac{11}{24} + frac{13}{36}) * 1 frac{11}{25} - frac{8}{15} * frac{9}{16}$ = ($1 frac{33}{72} + frac{26}{72}) * frac{36}{25} - frac{3}{10}$ =
= $1 frac{59}{72} * frac{36}{25} - frac{3}{10}$ =
= $frac{131}{72} * frac{36}{25} = frac{131}{50} = 2 frac{31}{50}$

и) $2 frac{1}{2} * 48 - 3 frac{2}{3} : frac{1}{18} + 5 frac{5}{12} : frac{7}{36}$ =
= $frac{5}{2} * frac{48}{1} - frac{11}{3} * frac{18}{1} + frac{65}{12} * frac{36}{7}$ = 120 - 66 + $frac{195}{7} = 54 + 27 frac{6}{7} = 81 frac{6}{7}$

к) $6 frac{1}{4} : frac{1}{8} - 3 frac{2}{3} * 5 frac{1}{2} + 2 frac{2}{5} * 4 frac{7}{12}$ = $frac{25}{4} * frac{8}{1} - frac{11}{3} * frac{11}{2} + frac{12}{5} * frac{55}{12}$ = $50 - frac{121}{6} + 11 = 50 - 20 frac{1}{6} + 11 = 29 frac{5}{6} + 11 = 40 frac{5}{6}$