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

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