Question

Пожалуйста, # 937, 938

Answer 1

№937.
а) $(frac{1}{2} : frac{3}{4}- frac{4}{9}): frac{3}{5} =(frac{1}{2} * frac{4}{3}- frac{4}{9}): frac{3}{5} = (frac{1*4}{2*3} - frac{4}{9}): frac{3}{5} = (frac{2}{3} - frac{4}{9}): frac{3}{5} = (frac{6}{9} - frac{4}{9})$$* frac{5}{3}= frac{6-4}{9} * frac{5}{3} = frac{2}{9} *frac{5}{3}= frac{10}{27}$
б) $frac{1}{2}: frac{3}{8}- frac{4}{9} : frac{3}{5}= frac{1}{2}* frac{8}{3}- frac{4}{9} * frac{5}{3}= frac{1*8}{2*3}- frac{4*5}{9*3}=frac{8}{6}- frac{20}{27}=frac{72}{54}- frac{40}{54}= frac{32}{54} =frac{16}{27}$
в) $frac{3}{5}: (frac{9}{10}- frac{3}{5}* frac{8}{9})= frac{3}{5}: (frac{9}{10}- frac{3}{5}* frac{8}{9})= frac{3}{5}: (frac{9}{10}- frac{3*8}{5*9})= frac{3}{5}: (frac{9}{10}- frac{24}{45})=$$frac{3}{5}: (frac{81}{90}- frac{48}{90})= frac{3}{5}: frac{81-48}{90}= frac{3}{5}: frac{33}{90}= frac{3}{5}* frac{90}{33}= frac{3*90}{5*33}= frac{18}{11}= 1frac{7}{11}$
г) $frac{3}{5}: frac{9}{10}- frac{3}{5}* frac{8}{9}= frac{3}{5}* frac{10}{9}- frac{3*8}{5*9}= frac{3*10}{5*9}- frac{8}{15}= frac{10}{15}- frac{8}{15}= frac{10-8}{15} = frac{2}{15}$
№938.
а) $4*frac{1}{5}+4* frac{3}{7} -4* frac{1}{35}= frac{4}{5}+ frac{12}{7}- frac{4}{35}= frac{28}{35}+ frac{60}{35}- frac{4}{35}= frac{28+60-4}{35} = frac{64}{35}$
б) $frac{3}{8}*5+ frac{5}{56}- frac{1}{7}: frac{1}{5}= frac{15}{8}+ frac{5}{56}- frac{1}{7}* 5= frac{105}{56}+ frac{5}{56}- frac{5}{7}= frac{105+5}{56}- frac{40}{56}=$$frac{110-40}{56}= frac{70}{56}= frac{35}{28}= frac{5}{4} = 1frac{1}{4}$
в) $frac{3}{2}* frac{5}{6}+ frac{3}{2} : frac{9}{10}- frac{3}{2}* frac{13}{18} = frac{3*5}{2*6}+ frac{3}{2} * frac{10}{9}- frac{3*13}{2*18} = frac{5}{2*2}+ frac{3*10}{2*9}- frac{13}{2*6} =$$frac{5}{4}+ frac{5}{3}- frac{13}{12} = frac{15}{12}+ frac{20}{12}- frac{13}{12}= frac{15+20-13}{12}= frac{22}{12} = frac{11}{6} =1 frac{5}{6}$
г)$frac{4}{5}: frac{5}{8} - frac{4}{5} * frac{24}{25}+ frac{1}{25} : frac{5}{4} = frac{4}{5}* frac{8}{5} - frac{4*24}{5*25} + frac{1}{25} * frac{4}{5} =$$frac{4*8}{5*5} - frac{96}{125} + frac{1*4}{25*5} = frac{32}{25} - frac{96}{125} + frac{4}{125} =frac{160}{125} - frac{96}{125} + frac{4}{125} = frac{160-96+4}{125}= frac{68}{125}$$=0,554$