Question

Найдите Значения Выражений
А) (1-2/3)*(4/5-3/4) в) 12 * (3/4 +1/12 +5/24
б) 5/11 *(4/5-11/15) г) 25/46 * (18/25+1/5)

Answer 1

а)
$(1- frac{2}{3} )*( frac{4}{5} - frac{3}{4} ) =( frac{3}{3} - frac{2}{3} )*( frac{4*4}{5*4} - frac{3*5}{4*5} ) = frac{1}{3} * ( frac{16}{20} - frac{15}{20} ) = frac{1}{3} * frac{1}{20} = frac{1}{60}$


б)
$frac{5}{11} *( frac{4}{5} - frac{11}{15} )= frac{5}{11} - ( frac{4*3}{5*3} - frac{11}{15} ) = frac{5}{11}* frac{1}{15}= frac{1}{11} * frac{1}{3} = frac{1}{33}$

в)
$12*( frac{3}{4} + frac{1}{12} + frac{5}{24} ) = 12* ( frac{3*6}{4*6} + frac{1*2}{12*2} + frac{5}{24} ) = 12*( frac{18+2+5}{24} )=12 * frac{25}{24} =$$frac{25}{2} =12 frac{1}{2}$

г)
$frac{25}{46} *( frac{18}{25} + frac{1}{5} ) = frac{25}{46} *( frac{18}{25} + frac{1*5}{5*5} ) = frac{25}{46} * frac{18+5}{25} = frac{25}{46} *frac{23}{25} = frac{23}{46} = frac{1}{2}$