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