Question

Решите по действиям
Шестой класс математика

Answer 1

а)$(1 frac{11}{18}+ frac{13}{24}-1 frac{13}{36} )*1 frac{3}{5} =$$1 frac{4}{15}$
1→$1 frac{11}{18}+ frac{13}{24}= frac{29}{18}+frac{13}{24}= frac{116}{72}+ frac{39}{72}= frac{155}{72}$
2→$frac{155}{72}-1 frac{13}{36}=frac{155}{72}-frac{49}{72}= frac{57}{72}$
3→$frac{57}{72} *1 frac{3}{5}=frac{57}{72} *frac{8}{5}= frac{57*8}{72*5}= frac{57}{45}= 1 frac{12}{45}=1 frac{4}{15}$
б)$frac{14}{15}*1 frac{3}{7}+ frac{7}{10}* frac{3}{14}=$$1 frac{29}{60}$
1→$frac{14}{15}*1 frac{3}{7}=frac{14}{15}* frac{10}{7}= frac{14*10}{15*7}= frac{4}{3}$
2→$frac{7}{10}* frac{3}{14}= frac{7*3}{10*14}= frac{3}{20}$
3→$frac{4}{3}+frac{3}{20}= frac{80}{60} + frac{9}{60}= frac{89}{60}= 1 frac{29}{60}$
в)$4 frac{1}{6} * frac{4}{15}- frac{7}{18}*2 frac{2}{3}=$$frac{2}{27}$
1→$4 frac{1}{6} * frac{4}{15}= frac{25}{6}* frac{4}{15}= frac{25*4}{6*15}= frac{10}{9}$
2→$frac{7}{18}*2 frac{2}{3}=frac{7}{18}* frac{8}{3}= frac{7*8}{18*3}= frac{28}{27}$
3→$frac{10}{9}-frac{28}{27}= frac{30}{27}- frac{28}{27}= frac{2}{27}$
г)$(1 frac{13}{18}-2 frac{7}{15}- frac{4}{15} )* frac{1}{2}=$$- frac{91}{180}$
1→$1 frac{13}{18}-2 frac{7}{15}=frac{31}{18}-frac{37}{15}= frac{155}{90} - frac{222}{90}=- frac{67}{90}$
2→$- frac{67}{90}-frac{4}{15}=- frac{67}{90}- frac{24}{90}=- frac{91}{90}$
3→$-frac{91}{90}* frac{1}{2}=- frac{91*1}{90*2}=- frac{91}{180}$