Question

Вычислите: 1) (15 1/3-8 5/18)*2 4/7:6 1/21 -2 5/8;  2) ( 35 5/6: 6 7/18*5 3/4-8 5/12):1 6/15.

Answer 1

1)
а) $15 frac{1}{3} -8 frac{5}{18} = frac{46}{3} - frac{149}{8}= frac{6*46-149}{18} = frac{276-149}{18} = frac{127}{18}$

б) $frac{127}{18} * 2frac{4}{7} = frac{127}{18} * frac{16}{7} = frac{1016}{63}$

в) $frac{1016}{63} /6 frac{1}{21} = frac{1016}{63} / frac{127}{21} = frac{1016}{63} * frac{21}{127} = frac{8}{3}$

г) $frac{8}{3} -2 frac{5}{8} = frac{8}{3} - frac{21}{8} = frac{8*8-3*21}{24} = frac{64-63}{24} = frac{1}{24}$


2)
а) $35 frac{5}{6} /6 frac{7}{18} = frac{215}{6} / frac{115}{18} = frac{215}{6} * frac{18}{115} = frac{129}{23}$

б) $frac{129}{23} *5 frac{3}{4} = frac{129}{23} * frac{23}{4} = frac{129}{4}$

в) $frac{129}{4} -8 frac{5}{12} = frac{129}{4} - frac{101}{12} = frac{3*129-101}{12} = frac{387-101}{12} = frac{286}{12} = frac{143}{6}$

г) $frac{143}{6} /1 frac{6}{15} = frac{143}{6} / frac{21}{15} = frac{143}{6} * frac{15}{21} = frac{2145}{126}$