Question

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Answer 1

5) $2 frac{1}{52}* frac{26}{49}-1 frac{11}{21}:2 frac{2}{9}= frac{105}{52}* frac{26}{49}- frac{32}{21}: frac{20}{9} = frac{7*15*26}{2*26*7*7}- frac{4*8}{3*7}* frac{3*3}{4*5}=$
$= frac{15}{2*7}- frac{8}{7}* frac{3}{5}= frac{15}{14}- frac{24}{35}= frac{15*5}{14*5}- frac{24*2}{35*2} = frac{75}{70} - frac{48}{70} = frac{27}{70}$
5) $8 frac{3}{4}*2 frac{4}{7}-10 frac{1}{8}*3 frac{1}{3}= frac{35}{4}* frac{32}{7}- frac{81}{8}* frac{10}{3}= frac{5*7*4*8}{4*7}- frac{3*27*2*5}{2*4*3}=$
$= 5*8- frac{27*5}{4}=40- frac{135}{4}= frac{160-135}{4} = frac{25}{4}$
5) $-3 frac{5}{21}:1 frac{22}{63}+1 frac{3}{35}:1 frac{1}{56} =- frac{68}{21}: frac{85}{63} + frac{38}{35}: frac{57}{56} =- frac{68}{21 }* frac{63}{85}+ frac{38}{35}* frac{56}{57} =$
$=- frac{17*4}{21 }* frac{21*3}{17*5}+ frac{2*19}{5*7}* frac{8*7}{3*19} = - frac{4*3}{5} + frac{2*8}{5*3} =- frac{12}{5}+ frac{16}{15} = frac{-36+16}{15} =- frac{4}{3}$